Results 21 to 30 of about 66 (66)
Some unsolved problems on meromorphic functions of uniformly bounded characteristic
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 477-482, 1985., 1985 The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu‐Ahlfors characteristic function. There are some natural parallels between UBC(R) and BMOA(R), the family of holomorphic functions of bounded mean oscillation in R.
Shinji Yamashita
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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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Results on the deficiencies of some differential-difference polynomials of meromorphic functions
Open Mathematics, 2016 In this paper, we study the relation between the deficiencies concerning a meromorphic function f(z), its derivative f′(z) and differential-difference monomials f(z)mf(z+c)f′(z), f(z+c)nf′(z), f(z)mf(z+c).
Zheng Xiu-Min, Xu Hong-Yan
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Entire functions that share two pairs of small functions
Open Mathematics, 2021 In this paper, we study the unicity of entire functions and their derivatives and obtain the following result: let ff be a non-constant entire function, let a1{a}_{1}, a2{a}_{2}, b1{b}_{1}, and b2{b}_{2} be four small functions of ff such that a1≢b1{a}_ ...
Huang Xiaohuang +2 more
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The existence of solutions to certain type of nonlinear difference-differential equations
Open Mathematics, 2018 In this paper we study the entire solutions to a certain type of difference-differential equations. We also give an affirmative answer to the conjecture of Zhang et al.
Lü Weiran +3 more
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Entire solutions for several general quadratic trinomial differential difference equations
Open Mathematics, 2021 This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Luo Jun, Xu Hong Yan, Hu Fen
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Veterinary Dermatology, Volume 36, Issue 1, Page 74-82, February 2025.Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs +2 more
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Open Mathematics, 2020 In this article, meromorphic exact solutions for the (2 + 1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff (gCBS) equation are obtained by using the complex method.
Aminakbari Najva, Gu Yongyi, Yuan Wenjun
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Singular direction of meromorphic functions with finite logarithmic order
Open MathematicsIn this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions.
Hu Keqi, Zhang Qingcai
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