On meromorphic functions with finite logarithmic order

DOI10.1090/S0002-9947-05-04024-9zbMath1079.30038OpenAlexW1547904305MaRDI QIDQ5705519

Peter Tien-Yu Chern

Publication date: 9 November 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-04024-9

zbMATH Keywords

Nevanlinna theorymeromorphic functionsgrowth estimates

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 (22)

Growth of meromorphic solutions to some complex functional equations ⋮ On the maximum term and central index of entire functions and their derivatives ⋮ Entire functions represented by Laplace-Stieltjes transforms concerning the approximation and generalized order ⋮ Results on logarithmic Borel exceptional values of meromorphic functions with their difference operators ⋮ Value distribution of \(q\)-differences of meromorphic functions in several complex variables ⋮ Relative logarithmic order of an entire function ⋮ Existence of generalised logarithmic proximate order and generalised logarithmic proximate type of an entire function ⋮ On value distribution and uniqueness of meromorphic function with finite logarithmic order concerning its derivative and \(q\)-shift difference ⋮ The zeros of \(q\)-shift difference polynomials of meromorphic functions ⋮ On the order of indeterminate moment problems ⋮ Nevanlinna theory for Jackson difference operators and entire solutions of \(q\)-difference equations ⋮ Nevanlinna theory of the Askey-Wilson divided difference operator ⋮ Growth of solutions of linear differential-difference equations with coefficients having the same logarithmic order ⋮ Normality of numbers generated by the values of entire functions ⋮ Zeros and uniqueness of \(Q\)-difference polynomials of meromorphic functions with zero order ⋮ Deficient values of solutions of linear differential equations ⋮ Unnamed Item ⋮ Uniqueness of differential \(q\)-shift difference polynomials of entire functions ⋮ Functions of finite logarithmic order in the unit disc. I ⋮ Functions of finite logarithmic order in the unit disc. II ⋮ Unnamed Item ⋮ Meromorphic functions of finiteφ-order and linearq-difference equations

Cites Work

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• The Minimum Modulus of Certain Small Entire Functions
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• Common Borel directions of a meromorphic function with zero order and its derivative
• The Minimum Modulus of Small Integral and Subharmonic Functions
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Sur les fonctions holomorphes dont les dérivées admettent une valeur exceptionnelle
• The real part of entire functions

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