Results 1 to 10 of about 788 (72)
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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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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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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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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Small Functions and Uniqueness of Difference Differential Polynomials of L-functions
International Journal of Differential Equations, 2020 In this paper, we study the value distributions of L-functions in the extended Selberg class. We prove two theorems which shows how difference differential polynomials of L-functions and difference differential polynomials of meromorphic functions ...
N. Mandal, N. Datta
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On unicity of meromorphic functions concerning the shifts and derivatives
Journal of Mathematical Inequalities, 2020 This paper is devoted to studying the sharing value problem for the derivative of a meromorphic function with its shift and q -difference. The results in the paper improve and generalize the recent result due to Qi, Li and Yang [28].
Chao Meng, Gang Liu
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Relative Order and Relative Type Oriented Growth Properties of Generalized Iterated Entire Functions
Journal of Mathematics and Applications, 2020 The main aim of this paper is to study some growth properties of generalized iterated entire functions in the light of their relative orders, relative types and relative weak types. AMS Subject Classification: 30D20, 30D30, 30D35.
T. Biswas
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