The spherical derivative of integral and meromorphic functions
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Publication:2522722
DOI10.1007/BF02564366zbMath0142.04303MaRDI QIDQ2522722
Walter K. Hayman, J. G. Clunie
Publication date: 1966
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/139298
Related Items (56)
Normal families and uniqueness theorems for entire functions ⋮ Non-normality, topological transitivity and expanding families ⋮ On the spherical derivative of functions regular or meromorphic in the unit disc ⋮ On the energy of quasiconformal mappings and pseudoholomorphic curves in complex projective spaces ⋮ Value sharing of meromorphic functions and their derivatives ⋮ About a Brody Curve on \(P^n(\mathbb {C})\) ⋮ A generalisation of the Bank-Laine property ⋮ A note on normality of meromorphic functions ⋮ Moduli Space of Brody Curves, Energy and Mean Dimension ⋮ A joint theorem generalizing the criteria of Montel and Miranda for normal families ⋮ Normal families and shared values of holomorphic functions ⋮ On a result of Bergweiler and Eremenko concerning derivatives bounded on preimages of unbounded sets ⋮ Normal criteria for family meromorphic functions sharing holomorphic function ⋮ A criterion of normality concerning holomorphic functions whose derivative omit a function. II ⋮ A uniqueness problem concerning entire functions and their derivatives ⋮ Normal families and quasiregular mappings ⋮ A normal criterion about two families of meromorphic functions concerning shared values ⋮ Meromorphic solutions of the differential equation $(f^{n})^{(k)}(g^{n})^{(k)}=1$ and its applications ⋮ On meromorphic functions which are Brody curves ⋮ Spherical derivative and Picard sets of entire functions ⋮ Entire solutions of a certain type of functional-differential equations ⋮ Yosida functions and Picard values of integral functions and their derivatives ⋮ Exceptional functions wandering on the sphere and normal families ⋮ Normality and shared values ⋮ On the spherical derivative of a meromorphic function with a Valiron deficient value ⋮ Generalization of a theorem of Clunie and Hayman ⋮ Some normality criteria ⋮ Normality criteria for families of zero-free meromorphic functions ⋮ Lyapunov exponents and related concepts for entire functions ⋮ Meromorphic functions that share a set with their derivatives ⋮ On Lappan's five-point theorem ⋮ Normality criteria of Lahiri's type and their applications ⋮ Composite meromorphic functions and growth of the spherical derivative ⋮ A criterion of normality based on a single holomorphic function ⋮ Bloch's principle ⋮ Meromorphic functions ⋮ Shared values and normality ⋮ Normal families of holomorphic functions with multiple zeros ⋮ Two examples on the mean dimension of spaces of Brody curves ⋮ Entire functions sharing a polynomial with their derivatives and normal families ⋮ Entire functions that share one value with their linear differential polynomials ⋮ A criterion of normality concerning holomorphic functions whose derivative omits a function ⋮ Entire functions that share a set with their derivatives ⋮ A Packing Problem for Holomorphic Curves ⋮ Normal families and uniqueness of entire functions and their derivatives ⋮ Compositionally universal meromorphic functions ⋮ Some remarks on the value distribution of meromorphic functions ⋮ Entire functions of finite order and lines of Julia ⋮ Uniqueness of entire functions sharing polynomials with their derivatives ⋮ Differential polynomials which share a value with their derivative ⋮ Normal families of meromorphic functions and shared values ⋮ Normal families: New perspectives ⋮ Schlicht regions for entire and meromorphic functions ⋮ Integer translation of meromorphic functions ⋮ Obituary: James (Jim) Gourlay Clunie 1926-2013 ⋮ Normal families of holomorphic functions and shared values
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