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On total reality of meromorphic functions [PDF]
, 2006 We show that if a meromorphic function of degree at most four on a real algebraic curve of an arbitrary genus has only real critical points then it is conjugate to a real meromorphic function after a suitable projective automorphism of the image.Comment:
Degtyarev, A. +4 more
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Starlike Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we study meromorphic univalent functions which map the unit disk onto the exterior of a domain which is starlike with respect to some finite point different from the origin. We obtain bounds on the arc length, an integral representation, and bounds on the maximum modulus of starlike meromorphic functions.
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An Inequality of Meromorphic Vector Functions and Its Application
Abstract and Applied Analysis, 2011 Firstly, an inequality for vector-valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar-valued function (1946).
Wu Zhaojun, Chen Yuxian
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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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On a class of meromorphic functions [PDF]
Proceedings of the American Mathematical Society, 1966 where 3 is meromorphic. In this case one may even obtain entire solutions, e.g. f = sin z, g = cos z, ,B = tan (z/2). Gross also shows that for n> 2 there are no entire solutions of (1), while for n> 3 there are no meromorphic solutions. Now the equation w3+z3 =1 defines an algebraic function whose Riemann surface has genus 1, and there is accordingly ...
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Journal of Inequalities and Applications, 2016 In this paper, we investigate the value distribution of a meromorphic function and its derivative concerning small functions in an angular domain and obtain some inequalities for a meromorphic function in an angular domain, which improve the previous ...
Hong Yan Xu +3 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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Exceptional values of p-adic analytic functions and derivatives [PDF]
, 2011 International audienceLet $K$ be an algebraically closed field of characteristic $0$, complete with respect to an ultrametric absolute value $|\ . \ |$. Given a meromorphic function $f$ in $K$ (resp.
Escassut, Alain, Ojeda, Jacqueline
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On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
Journal of Mathematical and Fundamental Sciences, 2017 In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator,
Khalid Challab +2 more
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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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