Quotient representations of meromorphic functions

DOI10.1007/BF02790046zbMath0247.30019MaRDI QIDQ2555936

Joseph Miles

Publication date: 1972

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

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 (15)

Inverse formulas for the Fourier coefficients of meromorphic functions in a half-plane ⋮ Analytic functions of infinite order in half-plane ⋮ Holomorphic curves with shift-invariant hyperplane preimages ⋮ Extremal holomorphic curves for defect relations ⋮ Some results on hypertranscendental meromorphic functions ⋮ On the algebraic difference independence of the Euler gamma function \(\Gamma\) and Dirichlet series ⋮ Unnamed Item ⋮ Incompleteness of exponential system in the weighted Banach space ⋮ Nevanlinna theory of the Askey-Wilson divided difference operator ⋮ Unnamed Item ⋮ On the Weierstrass functions, sigma, zeta, pe, and their functional and differential equations ⋮ Angular distribution of values of meromorphic functions of finite order ⋮ On the hypertranscendence of meromorphic solutions of certain functional equations ⋮ Wachstumsverhalten zusammengesetzter Funktionen ⋮ An analogue of Miles' theorem for functions that are \(\delta\)-subharmonic in \({\mathbb{R}}^ m\)

Cites Work

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• A Fourier series method for meromorphic and entire functions
• Functions of finite 𝜆-type in several complex variables
• Representing a meromorphic function as the quotient of two entire functions of small characteristic

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