Results 1 to 10 of about 356 (101)
Further study on the Brück conjecture and some non-linear complex differential equations [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The purpose of this current paper is to deal with the study of non-constant entire solutions of some non-linear complex differential equations in connection to Brück conjecture, by using the theory of complex differential equation.
Dilip Chandra Pramanik, Kapil Roy
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Geometric theory of meromorphic functions [PDF]
, 2021 This is a survey of results on the following problem. Let X be a simply connected Riemann surface spread over the Riemann sphere. How are the properties of the uniformizing function of this surface related to the geometric properties of the surface? 2000
Alexandre Eremenko
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Difference radical in terms of shifting zero and applications to the Stothers-Mason theorem [PDF]
, 2021 In this paper, we study the shifting zeros with its heights and an analogue to difference radical. We focus on the Stothers-Mason theorem by using falling factorials.
K. Ishizaki, Z. Wen
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Meromorphic solutions of a first order differential equations with delays
Comptes rendus. Mathematique, 2022 The main purpose of this paper is to study meromorphic solutions of the first order differential equations with delays w(z +1)−w(z −1)+a(z) ( w ′(z) w(z) )k = R(z, w(z)) and w(z +1)+a(z) ( w ′(z) w(z) )k = R(z, w(z)), where k is a positive integer, a(z ...
Yu Chen, T. Cao
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A result on Bruck Conjecture related to Shift Polynomials
Advances in Pure and Applied Mathematics, 2022 This paper mainly concerns about establishing the Bruck conjecture for differential-difference polynomial generated by an entire function. The polynomial considered is of finite order and involves the entire function f(z) and its shift f(z + c) where c ∈
B. Rao, Shilpa N.
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jnanabha, 2021 The main aim of this paper is to prove some results related to the growth rates of composite p-adic entire functions on the basis of their generalized relative type (α, β) and generalized relative weak type (α, β) where α and β are continuous non ...
T. Biswas, C. Biswas
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Malmquist-type theorems on some complex differential-difference equations
Open Mathematics, 2022 This article is devoted to study the existence conditions of solutions to several complex differential-difference equations. We obtain some Malmquist theorems related to complex differential-difference equations with a more general form than the previous
Xu Hong Yan, Li Hong, Yu Meiying
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Growth of analytic functions in an ultrametric open disk and branched values
Bulletin of the Belgian Mathematical Society Simon Stevin, 2021 Let D be the open unit disk |x| < R of a complete ultrametric algebraically closed field IK. We define the growth order ρ(f), the growth type σ(f) and the cotype ψ(f) of an analytic function in D and we show that, denoting by q(f, r) the number of zeros ...
K. Boussaf, A. Escassut
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Journal of Classical Analysis, 2021 In this paper, we intend to find out some inequalities relating to generalized (α ,β) relative order, generalized (α ,β) relative type and generalized (α ,β) relative weak type of an entire function f with respect to an entire function g when generalized
T. Biswas, C. Biswas
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Uniqueness of exponential polynomials
Open Mathematics, 2023 In this article, we study the uniqueness of exponential polynomials and mainly prove: Let nn be a positive integer, let pi(z)(i=1,2,…,n){p}_{i}\left(z)\hspace{0.33em}\left(i=1,2,\ldots ,n) be nonzero polynomials, and let ci≠0(i=1,2,…,n){c}_{i}\ne 0 ...
Wang Ge, He Zhiying, Fang Mingliang
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