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相关论文: Further results on normal families of meromorphic …

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In this paper we prove some normality criteria for a family of meromorphic functions concerning shared analytic functions, which extend or generalized some result obtained by Y. F. Wang, M. L. Fang~\cite{WF} and J. Qui, T. Zhu ~\cite{QZ}.

复变函数 · 数学 2019-06-10 Sanjay Kumar , Poonam Rani

In this paper we prove a normality criterion for the families of meromorphic functions involving sharing of functions. Our result generalizes some of the earlier results on Gu's normality criterion.

复变函数 · 数学 2016-05-09 Kuldeep Singh Charak , Virender Singh

In this article, we prove a normality criterion for a family of meromorphic functions which involves sharing of holomorphic functions. Our result generalizes some of the results of H. H. Chen, M. L. Fang and M. Han, Y. Gu.

复变函数 · 数学 2024-02-20 Gopal Datt , Sanjay Kumar

In this paper, we obtained some normality criteria for families of holomorphic functions. Which generalizes some results of Fang, Xu, Chen and Hua.

复变函数 · 数学 2013-04-02 Gopal Datt , Sanjay Kumar Pant

In this paper, we prove normality criteria for families of meromorphic functions involving sharing of a holomorphic function by a certain class of differential polynomials. Results in this paper extends the works of different authors…

复变函数 · 数学 2015-04-01 Virender Singh , Kuldeep Singh Charak

In this article we prove some normality criteria for a family of meromorphic functions which involves sharing of a non-zero value by certain differential monomials generated by the members of the family. These results generalizes some of…

复变函数 · 数学 2024-02-20 Gopal Datt , Sanjay Kumar

In this article, we prove some normality criteria for a family of meromorphic functions having zeros with some multiplicity. Our main result involves sharing of a holomorphic function by certain differential polynomials. Our results…

复变函数 · 数学 2024-02-20 Gopal Datt , Yuntong Li , Poonam Rani

In this paper we continue our earlier investigations on normal families of meromorphic functions\cite{CS2}. Here, we prove some value distribution results which lead to some normality criteria for a family of meromorphic functions involving…

复变函数 · 数学 2015-09-25 Kuldeep Singh Charak , Shittal Sharma

Let F and G be two families of meromorphic functions on a domain D, and let a, b and c be three distinct points in the extended complex plane. Let G be a normal family in D such that all limit functions of G are non-constant. If for each f…

复变函数 · 数学 2021-04-02 Kuldeep Singh Charak , Manish Kumar , Rahul Kumar

In this paper, we prove two normality criteria for a family of meromorphic functions. The first criterion extends a result of Fang and Zalcman[Normal families and shared values of meromorphic functions II, Comput. Methods Funct. Theory,…

复变函数 · 数学 2014-12-30 Kuldeep Singh Charak , Virender Singh

In this paper we prove some normality criteria for a family of meromorphic functions, which involves the zeros of certain differential polynomials generated by the members of the family.

复变函数 · 数学 2017-04-19 Sanjay Kumar , Poonam Rani

We improve well-known results concerning normal families and shared values of meromorphic functions in the plane. In particular, we obtain two corollaries concerning meromorphic functions $f \colon {\mathbb C} \to {\widehat{\mathbb C}}$: i)…

复变函数 · 数学 2026-03-18 Andreas Sauer

In this article, we prove a normality criterion for a family of meromorphic functions having zeros with some multiplicity which involves sharing of a holomorphic function by the members of the family. Our result generalizes Montel's…

复变函数 · 数学 2024-02-20 Gopal Datt , Sanjay Kumar

This article aims at finding sufficient conditions for a family of meromorphic functions to be normal by involving partial sharing of sets with differential polynomials. Moreover, corresponding results for normal meromorphic functions are…

复变函数 · 数学 2025-10-24 Kuldeep Singh Charak , Nikhil Bharti , Anil Singh

In this paper, we first generalize a value distribution result of Lahiri and Dewan [4] and as an application of this result we prove a normality criterion using partial sharing of small functions. Further, in sequel normality criteria of Hu…

复变函数 · 数学 2014-12-30 K. S. Charak , Shittal Sharma

In this paper, we prove some normality criteria concerning transitivity of normality from one family of meromorphic functions to another which improve and generalize some recent results. We also prove some value distribution results for…

复变函数 · 数学 2023-03-10 Kuldeep Singh Charak , Nikhil Bharti

In this article we prove a sufficient condition of quasi-normality in higher dimension for a family of meromorphic mappings in which each pair of functions of family shares some moving hypersurfaces. We also prove a normality criterion…

复变函数 · 数学 2019-09-04 Gopal Datt

We study normality of a family of meromorphic functions, whose differential polynomials satisfy a certain condition, which significantly improves and generalizes some recent results of Chen (Filomat, 31(14) 2017, 4665-4671). Moreover, we…

复变函数 · 数学 2025-07-03 Nikhil Bharti , Anil Singh

In this paper we generalize a result of Ye, Pang and Yang[12] on the normality of a family of holomorphic curves in $P^N(\mathbb{C})$. Further we obtain a normality criterion for family of meromorphic functions that partially share…

复变函数 · 数学 2024-11-05 Sonam Mehta , Kuldeep Singh Charak

In this paper, we prove some value distribution results which lead to some normality criteria for a family of analytic functions. These results improve some recent results.

复变函数 · 数学 2021-01-05 Sudip Saha , Bikash Chakraborty
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