Non-Archimedean meromorphic solutions of functional equations
, 2013 In this paper, we discuss meromorphic solutions of functional equations over non-Archimedean fields, and prove analogues of the Clunie lemma, Malmquist-type theorem and Mokhon'ko ...
Hu, Pei-Chu, Luan, Yong-Zhi
core
On the meromorphic solutions of some linear difference equations
, 2013 This paper is devoted to studying the growth of meromorphic solutions of some linear difference equations. We obtain some results on the growth of meromorphic solutions when most coefficients in such equations have the same order, which are supplements ...
Huifang Liu, Zhiqiang Mao
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The zeros of complex differential-difference polynomials
, 2014 This paper is devoted to considering the zeros of complex differential-difference polynomials of different types. Our results can be seen as the differential-difference analogues of Hayman conjecture (Ann. Math. 70:9-42, 1959).MSC:30D35, 39A05.
Xinling Liu, Kai Liu, Louchuan Zhou
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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
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The general traveling wave solutions of the Fisher type equations and some related problems
, 2014 In this article, we introduce two recent results with respect to the integrality and exact solutions of the Fisher type equations and their applications. We obtain the sufficient and necessary conditions of integrable and general meromorphic solutions of
W. Yuan +3 more
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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
Meromorphic solutions of Painlevé III difference equations with Borel exceptional values
, 2014 In this paper, we investigate the properties of meromorphic solutions of Painlevé III difference equations. In particular, the difference equation w¯w̲w(w−1)=μ with μ being a non-zero constant is studied.
Jilong Zhang
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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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On the value distribution and uniqueness of difference polynomials of meromorphic functions
, 2013 In this paper, we study the zeros of difference polynomials of meromorphic functions of the forms (P(f)∏j=1df(z+cj)sj)(k)−α(z),(P(f)∏j=1d[f(z+cj)−f(z)]sj)(k)−α(z), where P(f) is a nonzero polynomial of degree n, cj∈C∖{0} (j=1,…,d) are distinct ...
H. Xu
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The clinical effectiveness of REGEN-COV in SARS-CoV-2 infection with Omicron versus Delta variants. [PDF]
PLoS One, 2022 Gershengorn HB +5 more
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