Meromorphic functions - MaRDI portal

DOI10.1007/BF01387587zbMath0335.30022OpenAlexW4211251303MaRDI QIDQ1229324

Publication date: 1975

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01387587

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (1)

On the expansion of a meromorphic function in partial fractions

Cites Work

Certaines propriétés de la fonction maximum d'une fonction méromorphe
On a Theorem of Noble
On a Paper of Kennedy
On Permutable Integral Functions
Asymptotic Properties of Subharmonic Functions of Order Less than One
Bemerkungen über Halbvertauschbarkeit ganzer Funktionen.
On Connections Between Growth and Distribution of Zeros of Integral Functions
A conjecture of R. Nevanlinna concerning the genus of a meromorphic function
The Distribution of a-Points of an Entire Function
On the Growth of Meromorphic Functions With Several Deficient Values
Éléments exceptionnels des fonctions analytiques
Meromorphic Functions of Finite Order
Some Properties of Functions which Uniformize a Class of Simply Connected Riemann Surfaces
On the Maximum Modulus of an Integral Function
On the Minimum Modulus of Entire Functions of Lower Order Less than One.
On the Order of the Difference of Two Meromorphic Functions
The argument of an entire function
On the Denjoy Conjecture
Bounds for the Number of Deficient Values of Certain Classes of Meromorphic Functions
Complex Analytic Mappings of Riemann Surfaces I
On Integral and Meromorphic Functions
On the quotient of entire functions of lower order less than one
The minimum modulus of integral functions of small order
On the Zeros of Canonical Products of Integral Order
Some entire functions with fixpoints of every order
General Value Distribution Theory
On the equation 𝑓ⁿ+𝑔ⁿ=1
On Integral Functions Having Prescribed Asymptotic Growth
On the existence of meromorphic functions with pre-assigned asymptotic spots
Sets of Non-Normality in Iteration Theory
Fixpoints of Polynomials and Rational Functions
On the Characteristic of Functions Meromorphic in the Plane and of their Integrals
The real values of an entire function
The Sharpness of Sario's Generalized Picard Theorem
A Theorem on the Maximum Modulus of Entire Functions.
On the Asymptotic Values and Paths of Certain Integral and Meromorphic Functions
A Class of Entire Functions with Bowl-Like Surfaces
Sur l’allure des Fonctions Meromorphes
On a characterization of regularly branched three-sheeted covering Riemann surfaces
On ultrahyperelliptic surfaces
ASYMPTOTIC PROPERTIES OF INTEGRAL FUNCTIONS OF GENUS ZERO
Methods in the Theory of Integral and Meromorphic Functions
A Fourier series method for meromorphic and entire functions
On the Periodicity of Compositions of Entire Functions
Sur les Fonctions Méromorphes aux Limites Fines
Sur l’ensemble d’Adherence Fine des Fonctions Algebroides
On the Functional Equation f n +g n = h n
On the solution of the functional equation $f\circ g(z)=F(z)$. II.
A Fourier series method for meromorphic and entire functions
On Julia's Corollary to Picard's Great Theorem
On the Valiron Deficiencies of Meromorphic Functions of Finite Order
Coefficient Estimates for Lacunary Power Series and Dirichlet Series. I
On the growth of algebroid functions with several deficiencies
On the growth of algebroid functions with several deficiencies. II.
On the minimum modulus of an entire algebroid function of lower order less than one
A local form of the Phragmén‐lindelöf indicator
Applications of the Tumura-Clunie Theorem
Locally Tauberian Theorems for Meromorphic Functions of Lower Order Less Than One
On the Domain of Normality of an Attractive Fixpoint
On prime entire functions. I.
On prime entire functions. II.
On Factorization of Certain Entire Functions, II
Remarks on exceptional values of meromorphic functions
On functions of Yosida's class (A)
Logarithmic Derivative of an Entire Function
Subnormale Lösungen der Differentialgleichung: w” + p(e^z)w’ + q(e^z) w + 0
On polyanalytic functions
On Asymptotic Values of Slowly Growing Algebroid Functions
PROBLEMS OF VALUE DISTRIBUTION IN DIMENSIONS HIGHER THAN UNITY
On the $\alpha $-deficiency of meromorphic functions under change of origin
Analytic mappings between arbitrary Riemann surfaces
Picard's Great Theorem on Riemann Surfaces
Islands and Peninsulas on Arbitrary Riemann Surfaces
ON CANONICAL PRODUCTS WHOSE ZEROS LIE ON A PAIR OF RADII
A Theorem on the Minimum Modulus of Entire Functions.
On the Quotient of Entire Functions of Lower Order Less Than One
On the Zeros of a Class of Canonical Products of Integral Order
Picard's theorem on some Riemann surfaces
Some Tauberian Theorems for Canonical Products
On a certain family of meromorphic functions
ON A THEOREM OF BESICOVITCH
ON A THEOREM OF KJELLBERG
Integral Functions With Negative Zeros
Eine Bemerkung über die Anwendung hyperbolischer Massbestimmungen in der Wertverteilungslehre der meromorphen Funktionen
An Integral Function with a Defective Value That is Neither Asymptotic Nor Invariant Under Change of Origin
Sur les fonctions holomorphes admettant des valeurs exceptionnelles
A majorant principle in the theory of functions.
Functions of Potential Type
On an extension of the concept of deficiency in the theory of meromorphic functions
UNIVALENT REGIONS OF INTEGRAL FUNCTIONS
Formules apparentées à celles de Nevanlinna-Ahlfors pour certaines applications d'une variété à $n$ dimensions dans une autre
On Even Entire Functions With Zeros Having a Density
The Asymptotic Paths of Integral Functions of Infinite Order
THE ASYMPTOTIC BEHAVIOUR OF INTEGRAL FUNCTIONS
On a Theorem of Collingwood and Valiron
On a Conjecture of Heins
Über meromorphe periodische Funktionen
THE MAXIMUM MODULUS OF AN INTEGRAL FUNCTION OF AN INTEGRAL FUNCTION
Note on a Theorem of Parthasarathy
Meromorphic Functions with Three Radially Distributed Values
Sur quelques aspects globaux du théorème de Picard
Sur les fonctions holomorphes dont les dérivées admettent une valeur exceptionnelle
Questions of regularity connected with the Phragmen-Lindelöf principle
On an extension of a theorem of Bernstein to meromorphic functions
Meromorphic minimal surfaces
On meromorphic functions with regions free of poles and zeros
On an extension of a theorem of Bernstein to meromorphic functions
Meromorphic minimal surfaces
On deficiencies of differential polynomials
Exceptional values of entire and meromorphic functions
Zwei Beispiele zur Wertverteilungslehre
Zur Theorie der Viertelsenden Riemannscher Flächen
On the derivative of a meromorphic function with maximum defect
Zur Darstellung von Riemannschen Flächen durch Streckenkomplexe
Über den Einfluß von Randstellen Riemannscher Flächen auf die Wertverteilung
Zur Wertverteilung der Painleveschen Transzendenten
Exceptional values of entire functions
Über asymptotische Wege analytischer Funktionen und ihrer Ableitungen
Über eine Klasse Riemannscher Flächen
A note concerning some properties of the maximum function of a meromorphic function
Zum Verhalten eindeutiger analytischer Funktionen in der Umgebung einer wesentlichen isolierten Singularität
Über die Lösungen der beiden ersten Painlevéschen Differentialgleichungen
Growth of derivatives of entire functions
Über die Ableitung einer meromorphen Funktion mit maximaler Defektsumme
On the characteristic function of a meromorphic function. I
Defekte Werte eindeutiger analytischer Funktionen
Defektfreie Lösungen linearer Differentialgleichungen
Fonctions entières d'ordre fini et fonctions méromorphes
Asymptotic spots of entire and meromorphic functions
Zur Wachstumsordnung der Lösungen einer Klasse nichtlinearer Differentialgleichungen
On exceptional values of entire function
A theorem of the Nevanlinna deficiencies of meromorphic functions of finite order
A generalization of Picard's theorem
The distribution of the $a$-points of certain meromorphic functions
The spherical derivative of meromorphic functions in the neighbourhood of an isolated singularity
On theorems of G. Pólya and P. Turán
Picard values of meromorphic functions and their derivatives
Note on a theorem of Shah
Valeurs déficientes et valeurs asymptotiques des fonctions méromorphes
Eindeutige Lösungen der Differentialgleichung $w'=R(z,w)$
Sur les fonctions méromorphes en rapport avec leurs primitives
The deficiencies of meromorphic functions of order less than one
On exceptional values and the genus of a meromorphic function
Eine Bemerkung zur Werteverteilung meromorpher Funktionen in der Halbebene
An extension of Lindelöf's theorem to meromorphic functions
Über die Werteverteilung in Winkelräumen
Meromorphic functions with maximum defect sum
Radial distribution and deficiencies of the values of a meromorphic function
A new approach to the first fundamental theorem on value distribution
Multiply connected domains of normality in iteration theory
Permutable entire functions
On exceptional values of entire and meromorphic functions
Fonctions approachables par des sommes d'exponentielles
Value distribution under analytic mappings of arbitrary Riemann surfaces
The growth of the area of a transcendental analytic set. I, II
Integral functions and Tauberian theorems
The existence of fixpoints of entire functions
Second main theorem without exceptional intervals on arbitrary Riemann surfaces
A Fourier series method for entire functions
Subfields that are algebraically closed in the field of all meromorphic functions
Über eine Borelsche Identität
Remarks on the defect sum for a function meromorphic on an open Riemann surface
Entire functions with linearly distributed values
On the characteristic of functions meromorphic in the unit disk and of their integrals
The spherical derivative of integral and meromorphic functions
A theorem on holomorphic mappings into complex projective space
The integrated form of the first main theorem for complex analytic mappings in several complex variables
On the zeros of an entire function and its second derivative
Slowly growing meromorphic functions
The distribution of values of a meromorphic function and a theorem of H.S. Wilf
On the lower order of $f(z)e^{\varphi (z)}$
Some remarks on periodic entire functions
A general first main theorem of value distribution. I, II
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
Growth properties of integral and subharmonic functions
Über einen Satz von G.H. Halphen
Sums of deficiencies of meromorphic functions
Some classical function theory theorems and their modern versions
Zur Verteilung der $a$-Stellen spezieller ganzer Funktionen
Non-real zeros of real entire functions
The behaviour of integral and subharmonic functions
On direct critical singularities and regularity of growth
Zur Nullpunktabhängigkeit der Nevanlinnaschen Defekte
Über ganze Lösungen linearer Differentialgleichungen
Lineare Differentialgleichungen mit gegebener ganzer Lösung
Über die Ordnung meromorpher Funktionen
Sums of deficiencies of meromorphic functions. II
Borel exceptional values of entire functions
Remarks on the first main theorem in equidistribution theory. I
Entire functions with no finite deficient value
Fixpoint and iterates of entire functions
Zur Existenz kleiner Ausfüllungskreise bei ganzen Funktionen
Über Picardmengen ganzer Funktionen
On the derivative of canonical products
Über Picard-Mengen ganzer und meromorpher Funktionen
Repulsive fixpoints of entire functions
Über die Wachstumsordnung eines linearen Systems von Differentialgleichungen mit ganzen Funktionen als Koeffizienten
Zusammensetzungen ganzer Funktionen
The first main theorem of value distribution in several variables
On the first main theorem on a finite manifold
A problem of Nevanlinna
Normal families and the Nevanlinna theory
Bounds for the number of deficient values of entire functions whose zeros have angular densities
Deficiencies of monomials
Bemerkung über die Verzweigungspunkte meromorpher Funktionen endlicher Ordnung
Sur quelques fonctions méromorphes d'ordre nul dans $| z| < \infty$
Remarks on the first main theorem in equidistribution theory. II
About the value distribution of holomorphic maps into the projective space
Generalization of the big Picard theorem
Remarks on the first main theorem in equidistribution theory. III
A generalized characteristic for meromorphic functions
Famille des traces sur les droites complexes d'une fonctions plurisousharmonique ou entière dans $C_ n$
Einige Verallgemeinerungen des Iversenschen Satzes auf subharmonische Funktionen
Zum Verzweigungsindex der a-Stellen ganzer und meromorpher Funktionen
Sur la co-indicatrice des produits canoniques
Comparison between T(r,f) and log M(r,f)
Entire functions with negative zeros and a problem of R. Nevanlinna
Meromorphic functions with maximal deficiency sum and a conjecture of F. Nevanlinna
Functions with real poles and zeros
On meromorphic solutions of algebraic differential equations
Picardsche Ausnahmewerte bei Lösungen linearer Differentialgleichungen
Sur quelques fonctions entières ou méromorphes à l'egard de la conjecture de Paley
On certain compositions of functions of a complex variable
Value distribution of holomorphic maps into compact complex manifolds
Some theorems on value distributions of meromorphic functions
On solutions of algebraic differential equations whose coefficients are entire functions of finite order
Proximate distribution of a-points of meromorphic functions
An oscillation theorem of Tauberian type
Über Defektbegriffe in der Theorie der meromorphen Funktionen
Sur les combinaisons exceptionnelles de fonctions holomorphes; applications aux fonctions algébroides
Sur le nombre de combinaisons exceptionnelles; applications aux fonctions algébroides
On deficient values of meromorphic functions satisfying a certain functional equation
Order of composite functions of integral functions
Zum Umkehrproblem für lineare Differentialgleichungen mit Polynomen als Koeffizienten
A Tauberian theorem characterizing the regularity of growth of a class of entire functions
Proximate exceptional values of entire and meromorphic functions
Valiron deficient values for meromorphic functions in the plane
Eine verallgemeinerte Fuchssche Theorie
Sum of deficiencies and the order of a meromorphic function
Some remarks on the value distribution of meromorphic functions
On a modified deficiency of meromorphic functions
Sur quelques combinaisons linéaires exceptionnelles au sens de Nevanlinna
Sur une généralisation du théorème de Picard-Borel-Rémoundos
Über den Verzweigungsindex bei ganzen Funktionen
Über ganze Funktionen, die einer linearen Differentialgleichung genügen
Über eine Vermutung von Hayman
Entire functions of finite order and lines of Julia
Zur Faktorisierung elliptischer Funktionen. (On the factorization of elliptic functions)
Über eine Defekt- und Verzweigungsrelation für die Ableitung meromorpher Funktionen. (On a defect and ramification relation for the derivate of meromorphic functions)
On a class of meromorphic functions with deficient zeros and poles
Meromorphic functions and conformal metrics on Riemann surfaces
On Weierstrass products of zero type on the real axis
Proof of a conjecture of G. Polya concerning gap series
Über die Lösungen linearer Differentialgleichungen mit ganzen Funktionen als Koeffizienten
Über die subnormalen Lösungen der Differentialgleichung $w+e^{-z} \cdot w'+\text{konst.} \cdot w = 0$
An entire function of restricted growth
Über den Picard-Borelschen Satz und die Nevanlinnaschen Ungleichungen
On the zeros of $f(g(z))$ where $f$ and $g$ are entire functions
Slowly growing integral and subharmonic functions
Über das Wachstum zusammengesetzter Funktionen
The deficiencies of meromorphic functions of finite lower order
Fonctieres entières et intégrales de Fourier multiples
On the generating functions of totally positive sequences. I
On the generating functions of totally positive sequences. II
Some elementary theorems on entire functions
Sufficient conditions for reversal of the second fundamental inequality for meromorphic functions
Borel's theorem on $a$-points and exceptional values of entire and meromorphic functions
Über ein Teichmüllersches Wertverteilungsproblem
On a direct transcendental singularity of an inverse function of a meromorphic function
Bemerkung zur Wertverteilung von Exponentialsummen
On Nevanlinna's second theorem and extensions
Bestimmung der Wertverteilung der Gammafunktion aus ihrer Riemannschen Fläche
Zur Theorie der Riccatischen Differentialgleichung
On the distribution of values of meromorphic functions of bounded characteristic
Über periodische Enden mit mehrfach zusammenhängendem Existenzgebiet
Über die bei Deformationen Riemannscher Flächen mit endlich vielen Windungssorten entstehenden Randstellen
Einige Eigenschaften der Lösungen von $w' = a(z) + b(z)w + c(z)w^2$
Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexer Veränderlicher. I. II
The iteration of entire transcendental functions and the solution of the functional equation $f\{f(z)\}=F(z)$
Konstruktion Riemannscher Flächen mit vorgegebener Ordnung der erzeugenden Funktionen
Neue Beiträge zur geometrischen Wertverteilungslehre
On the maximum term and the rank of an entire function
On the Zeros of An Entire Function
The Derivative of a Meromorphic Function
Sur les fonctions algébroïdes et leurs dérivées. Etude des défauts absolus et des défauts relatifs
ASYMPTOTIC SPOTS OF ENTIRE AND MEROMORPHIC FUNCTIONS
On the maximum modulus of entire functions
Über die normal ausschöpfbaren Riemannschen Flächen
A Class of Integral Functions Bounded on Certain Curves
A note on entire functions
A Note on Entire and Meromorphic Functions
NOTE ON A STEP FUNCTION
INEQUALITIES FOR INTEGRAL FUNCTIONS
The Minimum Modulus of Certain Integral Functions
On Factorizing Entire Functions
Über die Abschätzung des Betrages einer analytischen beschränkten Funktion nach unten
On the equation 𝑓ⁿ+𝑔ⁿ=1. II
On the Periodicity of f(g)
On Factorization of Meromorphic Functions
Note sur L’ensemble D’Adhérence Fine des Fonctions Algébroïdes
On a Class of Meromorphic Functions
On the Fixpoints of Entire Functions
Generalization of the big Picard theorem
Entire and Meromorphic Functions with Asymptotically Prescribed Characteristic
Asymptotic behavior of meromorphic functions with extremal deficiencies
On Integral Functions Having Prescribed Asymptotic Growth. II
Developments in the classical Nevanlinna theory of meromorphic functions
On the Zeros of the Derivative of an Entire Function
On the Derivative of an Entire Function
Tauberian Theorems and Slowly Varying Functions
The Distribution of Fixpoints of Entire Functions
On the solution of the functional equation $f\circ g(z)=F(z)$. III.
On the Real Part of zf′ (z )/f (z ) for Entire Functions of Small Order
On a Result of Hayman
On the Periodicity of Compositions of Entire Functions. II
On the growth of 𝑓(𝑔)
An Extension of the Denjoy-Carleman-Ahlfors Theorem in Subharmonic Form
A Remark on Small Values of Entire Functions
On Julia's exceptional functions
Sur les Directions de Julia et de Borel des Fonctions Algebroides
О Распределении Значений Целой Функции Ро Аргументам
On a Complement to Valiron's Tauberian Theorem for the Stieltjes Transform
Cercles de Remplissage and Asymptotic Behaviour
On the characteristic of an algebroid function
A remark on a conjecture of paley
Asymptotic Behavior of Meromorphic Functions with Extremal Deficiencies
On the Zeros of an Entire Function III.
On the dificiencies of meromorphic functions
Meromorphic functions with one deficient value
On Factorization of Elliptic Functions
An $n$-dimensional extension of Picard's theorem
On Wu's Form of the First Main Theorem of Value Distribution
Asymptotic properties of entire functions extremal for the cos𝜋𝜌 theorem
On the Valiron Deficiencies of Integral Functions
The Picard Theorems
Sur une relation entre la croissance et le nombre de valeurs déficientes de fonctions algébroï des ou de systèmes
On Factorisation of Certain Entire Functions
Sur les Directions de Julia des Fonctions Algébroïdes Dans |z| < ∞
Classical analytic representations
A Construction of Meromorphic Functions with Prescribed Asymptotic Behavior
A Nonlinear Tauberian Theorem in Function Theory
Deficiencies of an entire algebroid function
On an Inequality of S. Bernstein's for the Maximum Moduli of an Entire Function and its Derivative
GROWTH OF MEROMORPHIC FUNCTIONS OF FINITE LOWER ORDER
An application of Nevanlinna-pólya theorem to a cosine functional equation
THEORY OF FACTORIZATION OF FUNCTIONS MEROMORPHIC IN THE DISK
Deficiencies of an entire algebroid function. II.
The Equidistribution Theory of Holomorphic Curves. (AM-64)
The Big Picard Theorem for Polyanalytic Functions
On the Growth of Solutions of Algebraic Differential Equations Whose Coefficients are Arbitrary Entire Functions
REMARKS ON THE MAXIMUM MODULUS OF AN ENTIRE FUNCTION WITH NEGATIVE ZEROS
A Generalization of a Theorem of P. Montel on Entire Functions
Deficiencies of an algebroid function
On the Growth of Increasing Functions
Sur la croissance de fonctions algébroides à valeurs déficientes
On the Growth of Certain Meromorphic Solutions of Arbitrary Second Order Algebraic Differential Equations
Sur les valeurs déficientes de fonctions algébroides à $2$ branches
On meromorphic functions of order zero
Representing a meromorphic function as the quotient of two entire functions of small characteristic
Some Theorems Related to the cos πρTheorem
The second fundamental theorem for meromorphic minimal surfaces
An Analogue of a Theorem of W. H. J. Fuchs on Gap Series
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