Results 31 to 40 of about 493 (94)
The holomorphic flow of the Riemann zeta function [PDF]
, 2003 The flow of the Riemann zeta function, ś = ς(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line.
Barnett, A. Ross, Broughan, Kevin A.
core +2 more sources
Meromorphic functions with three radially distributed values
, 1955 We consider transcendental meromorphic functions for which the zeros, 1-points and poles are distributed on three distinct rays. We show that such functions exist if and only if the rays are equally spaced. We also obtain a normal family analogue of this
A. Edrei
semanticscholar +1 more source
Absorbing sets and Baker domains for holomorphic maps [PDF]
, 2014 We consider holomorphic maps $f: U \to U$ for a hyperbolic domain $U$ in the complex plane, such that the iterates of $f$ converge to a boundary point $\zeta$ of $U$.
Barański, Krzysztof +3 more
core +3 more sources
Uniqueness of meromorphic functions sharing two finite sets
Open Mathematics, 2017 We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross.
Chen Jun-Fan
doaj +1 more source
The uniqueness of meromorphic functions in k-punctured complex plane
Open Mathematics, 2017 The main purpose of this paper is to investigate the uniqueness of meromorphic functions that share two finite sets in the k-punctured complex plane. It is proved that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 5, such that any two admissible ...
Xu Hong Yan, Liu San Yang
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Acta Universitatis Sapientiae: Mathematica, 2017 In this paper we study some comparative growth properties of composite entire and meromorphic functions on the basis of their generalized relative order, generalized relative type and generalized relative weak type with respect to another entire function.
Datta Sanjib Kumar, Biswas Tanmay
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, 2016 In this paper we would like to investigate some basic properties of relative L∗ -type and relative L∗ -weak type of entire functions. Mathematics subject classification (2010): 30D20, 30D30, 30D35.
S. Datta, T. Biswas, Ahsanul Hoque
semanticscholar +1 more source
Some variations on an extension of Caratheodory's normality criterion [PDF]
arXiv, 2021 In this note we give some variations on an extension of Caratheodory's normality criterion due to Grahl and Nevo.
arxiv
Singularities of inverse functions [PDF]
arXiv, 2021 A survey of general results on the singularities of inverses to meromorphic functions is given, with applications to holomorphic dynamics. This is a lecture delivered at the workshop "The role of complex analysis in complex dynamics" in Edinburgh on May 22 2013, with corrected mistakes and updated references.
arxiv
Uniqueness of Meromorphic Functions of Differential Polynomials Sharing a Small Function IM
, 2014 In this paper, we shall study the uniqueness problems of meromorphic functions of differential polynomials sharing a small function and ∞ IM. Our results improve or generalize many previous results on value sharing of meromorphic functions.
Xinhua Shi
semanticscholar +1 more source