Results 41 to 50 of about 577 (96)

Characterizations of entire solutions for the system of Fermat-type binomial and trinomial shift equations in ℂn#

Demonstratio Mathematica, 2023
In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
doaj   +1 more source

Growth of Solutions of Complex Differential Equations in a Sector of the Unit Disc [PDF]

, 1988
In this paper, we deal with the growth of solutions of homogeneous linear complex differential equation by using the concept of lower [\textit{p,q}]-order and lower [\textit{p,q}]-type in a sector of the unit disc instead of the whole unit disc, and we ...
Belaïdi, Benharrat
core   +2 more sources

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
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Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts

Open Mathematics, 2019
In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
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Algebraic dependence and finiteness problems of differentiably nondegenerate meromorphic mappings on Kähler manifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Let M be a complete Kähler manifold, whose universal covering is biholomorphic to a ball 𝔹m(R0) in ℂm (0 < R0 +∞). Our first aim in this paper is to study the algebraic dependence problem of differentiably meromorphic mappings.
Quang Si Duc
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A new result for entire functions and their shifts with two shared values

Open Mathematics
Let ff be a transcendental entire function of hyperorder strictly less than 1, and let cc be a nonzero finite complex number. We prove that if f(z)f\left(z) and f(z+c)f\left(z+c) partially share 0, 1 ignoring multiplicity (i.e., E¯(0,f(z))⊆E¯(0,f(z+c ...
Xu Aizhu, Lin Peiqiang, Chen Shengjiang
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Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

Open Mathematics, 2016
In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
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Meromorphic solutions of certain nonlinear difference equations

Open Mathematics, 2020
This paper focuses on finite-order meromorphic solutions of nonlinear difference equation fn(z)+q(z)eQ(z)Δcf(z)=p(z){f}^{n}(z)+q(z){e}^{Q(z)}{\text{Δ}}_{c}f(z)=p(z), where p,q,Qp,q,Q are polynomials, n≥2n\ge 2 is an integer, and Δcf{\text{Δ}
Liu Huifang, Mao Zhiqiang, Zheng Dan
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Infinite growth of solutions of second order complex differential equation

Open Mathematics, 2018
In this paper we study the growth of solutions of second order differential equation f′′ + A(z)f′ + B(z)f = 0. Under certain hypotheses, the non-trivial solution of this equation is of infinite order.
Zhang Guowei
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Characterizations of transcendental entire solutions of trinomial partial differential-difference equations in ℂ2#

Demonstratio Mathematica
This 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