Results 21 to 30 of about 113 (110)
A class of gap series with small growth in the unit disc
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 1, Page 29-40, 2002., 2002 Let β > 0 and let α be an integer which is at least 2. If f is an analytic function in the unit disc D which has power series representation f(z)=∑k=0∞ak zkα, limsupk→∞ (log+|ak|/logk) = α(1 + β), then the first author has proved that f is unbounded in every sector {z ∈ D : Φ − ϵ < argz < Φ + ϵ, for ϵ > 0}.
L. R. Sons, Zhuan Ye
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International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 425-427, 2001., 2001 We prove that Mues′ conjecture holds for the second‐ and higher‐order derivatives of a square and higher power of any transcendental meromorphic function.
Indrajit Lahiri
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Some results on a question of Li, Yi and Li [PDF]
, 2019 The purpose of this paper is to study the uniqueness problems of certain difference polynomials of meromorphic functions sharing a nonzero polynomial. The results of this paper improve and generalize some recent results due to Li, Yi and Li [11].
MAJUMDER , Sujoy, BANERJEE , Abhijit
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Value distribution of certain differential polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 2, Page 83-91, 2001., 2001 We prove a result on the value distribution of differential polynomials which improves some earlier results.
Indrajit Lahiri
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On meromorphic functions for sharing two sets and three sets in m-punctured complex plane
Open Mathematics, 2016 In this article, we study the uniqueness problem of meromorphic functions in m-punctured complex plane Ω and obtain that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 9, such that any two admissible meromorphic functions f and g in Ω must be ...
Xu Hong-Yan, Zheng Xiu-Min, Wang Hua
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Open Mathematics, 2023 Our purpose in this article is to describe the solutions of several product-type nonlinear partial differential equations (PDEs) (a1u+b1uz1+c1uz2)(a2u+b2uz1+c2uz2)=1,\left({a}_{1}u+{b}_{1}{u}_{{z}_{1}}+{c}_{1}{u}_{{z}_{2}})\left({a}_{2}u+{b}_{2}{u}_{{z}_{
Xu Yi Hui +3 more
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A note on a result of Singh and Kulkarni
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 4, Page 285-288, 2000., 2000 We prove that if f is a transcendental meromorphic function of finite order and ∑a≠∞δ(a, f) + δ(∞, f) = 2, then K(f(k))=2k(1−δ(∞,f))1+k−kδ(∞,f) , where K(f(k))=limr→∞N(r,1/f(k))+N(r,f(k))T(r,f(k)) This result improves a result by Singh and Kulkarni.
Mingliang Fang
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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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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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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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