Results 11 to 20 of about 356 (101)
Properties of meromorphic solutions of first-order differential-difference equations
Open Mathematics, 2023 For the first-order differential-difference equations of the form A(z)f(z+1)+B(z)f′(z)+C(z)f(z)=F(z),A\left(z)f\left(z+1)+B\left(z)f^{\prime} \left(z)+C\left(z)f\left(z)=F\left(z), where A(z),B(z),C(z)A\left(z),B\left(z),C\left(z), and F(z)F\left(z) are ...
Wu Lihao, Chen Baoqin, Li Sheng
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Uniqueness on entire functions and their nth order exact differences with two shared values
Open Mathematics, 2020 Let f(z) be an entire function of hyper order strictly less than 1. We prove that if f(z) and its nth exact difference Δcnf(z){\Delta }_{c}^{n}f(z) share 0 CM and 1 IM, then Δcnf(z)≡f(z){\Delta }_{c}^{n}f(z)\equiv f(z).
Chen Shengjiang, Xu Aizhu
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Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2
Open Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we mainly investigate the existence and the forms of entire solutions for the partial differential-difference equation of Fermat type α∂f(z1,z2)∂z1+β∂f(z1,z2)∂z2m+f(
Gui Xian Min +3 more
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Unicity of meromorphic functions concerning differences and small functions
Open Mathematics, 2022 In this paper, we study the unicity of meromorphic functions concerning differences and small functions and mainly prove two results: 1. Let ff be a transcendental entire function of finite order with a Borel exceptional entire small function a(z)a\left ...
He Zhiying, Xiao Jianbin, Fang Mingliang
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Demonstratio Mathematica, 2021 The complex method is systematic and powerful to build various kinds of exact meromorphic solutions for nonlinear partial differential equations on the complex plane C{\mathbb{C}}.
Dang Guoqiang
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Infant Mental Health Journal: Infancy and Early Childhood, Volume 40, Issue 5, Page 640-658, September/October 2019., 2019 ABSTRACT Latina immigrant women are vulnerable to traumatic stress and sexual health disparities. Without autonomy over their reproductive health and related decision‐making, reproductive justice is elusive. We analyzed behavioral health data from 175 Latina immigrant participants (M age = 35; range = 18–64) of the International Latino Research ...
Lisa R. Fortuna +7 more
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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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Multivalent functions and QK spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 48, Page 2537-2546, 2004., 2004 We give a criterion for q‐valent analytic functions in the unit disk to belong to QK, a Möbius‐invariant space of functions analytic in the unit disk in the plane for a nondecreasing function K : [0, ∞) → [0, ∞), and we show by an example that our condition is sharp.
Hasi Wulan
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The uniqueness of meromorphic functions in k-punctured complex plane
Open Mathematics, 2017 The main purpose of this paper is to investigate the uniqueness of meromorphic functions that share two finite sets in the k-punctured complex plane. It is proved that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 5, such that any two admissible ...
Xu Hong Yan, Liu San Yang
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Order of growth of solutions to algebraic differential equations in the unit disk
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 41, Page 2161-2170, 2004., 2004 S. B. Bank has shown that there is no uniform growth estimate for meromorphic solutions of algebraic differential equations with meromorphic coefficients in the unit disk. We give conditions under which such solutions must have a finite order of growth.
D. Benbourenane, L. R. Sons
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