Results 81 to 90 of about 929 (107)
Normality criteria concerning composite meromorphic functions [PDF]
arXiv, 2015 In this paper, we prove normality criteria for families of meromorphic functions involving sharing of a holomorphic function by a certain class of differential polynomials. Results in this paper extends the works of different authors carried out in recent years.
arxiv
Value distribution and potential theory
, 2002 We describe some results of value distribution theory of holomorphic curves and quasiregular maps, which are obtained using potential theory. Among the results discussed are: extensions of Picard's theorems to quasiregular maps between Riemannian ...
Eremenko, Alexandre
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Uniqueness theorems for L-functions in the extended Selberg class
Open Mathematics, 2018 In this paper, we obtain uniqueness theorems of L-functions from the extended Selberg class, which generalize and complement some recent results due to Li, Wu-Hu, and Yuan-Li-Yi.
Hao Wen-Jie, Chen Jun-Fan
doaj +1 more source
Questions on meromorphic functions and complex differential equations [PDF]
arXiv, 2015 Thirty research questions on meromorphic functions and complex differential equations are listed and discussed. The main purpose of this paper is to make this collection of problems available to everyone.
arxiv
A unified approach to the Painleve Transcendents [PDF]
arXiv, 2016 We utilise a recent approach via the so-called re-scaling method to derive a unified and comprehensive theory of the solutions to Painleve's differential equations (I), (II) and (IV), with emphasis on the most elaborate equation (IV).
arxiv
Non-real zeros of linear differential polynomials in real meromorphic functions
, 2019 It is shown that if $f$ or $1/f$ is a real entire function of infinite order of growth, with only real zeros, then $f''+\omega f$ has infinitely many non-real zeros for any $\omega > 0$.Comment: updated 27/09 ...
Langley, J. K.
core
A normality criterion generalizing Gu's result [PDF]
arXiv, 2016 In this paper we prove a normality criterion for the families of meromorphic functions involving sharing of functions. Our result generalizes some of the earlier results on Gu's normality criterion.
arxiv
Uniqueness of differential polynomials sharing one value [PDF]
arXiv, 2016 We prove some uniqueness results which improve and generalize results of Jiang-Tao Li and Ping Li[Uniqueness of entire functions concerning differential polynomials. Commun. Korean Math. Soc. 30 (2015), No. 2, pp. 93-101].
arxiv
Demonstratio MathematicaThis study is devoted to exploring the existence and the precise form of finite-order transcendental entire solutions of second-order trinomial partial differential-difference equations L(f)2+2hL(f)f(z1+c1,z2+c2)+f(z1+c1,z2+c2)2=eg(z1,z2)L{(f)}^{2}+2hL(f)
Xu Hong Yan, Haldar Goutam
doaj +1 more source
A Connection between the Riemann Hypothesis and Uniqueness of the Riemann zeta function [PDF]
arXiv, 2016 In this paper, we give a connection between the Riemann hypothesis and uniqueness of the Riemann zeta function and an analogue for L-functions.
arxiv