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Periodic meromorphic functions [PDF]
Acta Mathematica, 1991 On caractérise comme suit les sous-groupes additifs \(\Gamma\) de \({\mathbb{C}}^ n\) pour lesquels il existe une fonction F méromorphe sur \({\mathbb{C}}^ n\) dont les périodes forment un groupe discret \(\supset \Gamma:\) il faut et il suffit qu'il existe sur \({\mathbb{C}}^ n\) une forme hermitienne définie \(>0\) dont la partie imaginaire prenne ...
F. Capocasa, Fabrizio Catanese
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The Unique Range Set of Meromorphic Functions in an Angular Domain [PDF]
The Scientific World Journal, 2014 By using Tsuji's characteristic, we investigate uniqueness of meromorphic functions in an angular domain dealing with the shared set, which is different from the set of the paper (Lin et al., 2006) and obtain a series of results about the unique range ...
Hong-Yan Xu, Zu-Xing Xuan, Hua Wang
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Some Theorems on Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1950 In this paper we extend Theorems A and B. Let (5) F(z) = zk7 exp (H(z))f(z)/g(z) be any meromorphic function of finite order p. Here H(z) is a polynomial of degree h; f(z) and g(z) are canonical products of orders pi, P2 and genera p, q respectively. The genus of F(z) is P =max (p, q, h) and we have p-1
Yoshitomo Okada
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A note on the location of poles of meromorphic functions [PDF]
Journal of Hyperstructures, 2021 A meromorphic function on an open set D contained in the finite complex plane C is of the form of the ratio betweentwo analytic functions defined on D with denominator not identically zero.
Sanjib Kumar Datta, Tanchar Molla
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Mathematics Open, 2022 Let [Formula: see text] be a complete ultrametric algebraically closed field of characteristic 0, let D be the open disk [Formula: see text] and let [Formula: see text].
Alain Escassut
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Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity [PDF]
Mathematica Bohemica, 2020 This paper deals with the finiteness problem of meromorphic funtions on an annulus sharing four values regardless of multiplicity. We prove that if three admissible meromorphic functions $f_1$, $f_2$, $f_3$ on an annulus $\mathbb A({R_0})$ share four ...
Duc Quang Si, An Hai Tran
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The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
Fractal and Fractional, 2023 Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil +5 more
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Extreme problems in the space of meromorphic functions of finite order in the half plane. II
Математичні Студії, 2020 The extremal problems in the space of meromorphic functions of order $\rho>0$ in upper half-plane are studed. The method for studying is based on the theory of Fourier coefficients of meromorphic functions.
K.G. Malyutin, A.A. Revenko
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Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
Journal of Function Spaces, 2022 To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz +3 more
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Doğuş Üniversitesi Dergisi, 2001 In this paper, we have given the applications of homogeneous differential polynomials to the Nevanlinna’s theory of meromorphic functions in the finite complex plane and given some generalizations by these polynomials.
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