Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts
Open Mathematics, 2019 In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
doaj +1 more source
Non-real zeros of derivatives of real meromorphic functions [PDF]
arXiv, 2009 The main result of the paper determines all real meromorphic functions of finite order in the plane for which the first derivative has finitely many zeros, while the function itself and one of its higher derivatives have finitely many non-real zeros.
arxiv
Demonstratio MathematicaThis article is devoted to describing the entire solutions of several systems of the first-order nonlinear partial differential difference equations (PDDEs).
Jiao Xin, Chen Yu Bin, Xu Hong Yan
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Distribution of Normalized Zero-Sets of Random Entire Functions with Small Random Perturbation [PDF]
arXiv, 2009 In this paper, we extend our earlier result (see [Y-2008]) on the distribution of normalized zero-sets of random entire functions to random entire functions with small random perturbation.
arxiv
Differential polynomials of L-functions with truncated shared values
Open Mathematics, 2019 In this paper, by using the idea of truncated counting functions, we study the uniqueness of transcendental meromorphic functions and L-functions whose certain nonlinear differential polynomials share one finite nonzero value.
Zhu Wan-Qiong, Chen Jun-Fan
doaj +1 more source
Operator Bezoutiant and Roots of Entire Functions, Concrete Examples [PDF]
arXiv, 2009 In this paper we use the Bezoutiant method to describe the conditions under which two entire functions have not common roots. We apply the general results to concrete examples. In particular we consider the Bessel functions.
arxiv
Entire Functions Sharing Small Functions With Their Difference Operators
, 2015 We investigate uniqueness problems for an entire function that shares two small functions of finite order with their difference operators.
Belaidi, Benharrat +2 more
core +1 more source
Reminiscence Of An Open Problem: Remarks On Nevanlinna's Four-Value-Theorem [PDF]
arXiv, 2011 The aim of this paper is to describe the origin, first solutions, further progress, the state of art, and a new ansatz in the treatment of a problem dating back to the 1920's, which still has not found a satisfactory solution and deserves to be better known.
arxiv
The clinical effectiveness of REGEN-COV in SARS-CoV-2 infection with Omicron versus Delta variants. [PDF]
PLoS One, 2022 Gershengorn HB +5 more
europepmc +1 more source
Further results on normal families of meromorphic functions concerning shared values [PDF]
arXiv, 2014 In this paper, we prove two normality criteria for families of some functions concerning shared values, the results generalize those given by Hu and Meng. Some examples are given to show the sharpness of our results.
arxiv