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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 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 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 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

In this paper, we prove two normality criteria for families of some functions concerning shared values, the results generalize those given by Hu and Meng. Some examples are given to show the sharpness of our results.

复变函数 · 数学 2014-08-28 Xiaobin Zhang , Junfeng Xu

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 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 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

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

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 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

Let $f$ be a transcendental meromorphic function defined in the complex plane $\mathbb{C}$, and $\varphi(\not\equiv 0,\infty)$ be a small function of $f$. In this paper, We give a quantitative estimation of the characteristic function $T(r,…

复变函数 · 数学 2020-08-31 Weiran Lü , Bikash Chakraborty

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

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 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

By using Nevanlinna theory, we prove some normality criteria for a family of meromorphic functions under a condition on differential polynomials generated by the members of the family.

复变函数 · 数学 2017-01-26 Gerd Dethloff , Tran Van Tan , Nguyen Van Thin

The aim of this paper is to consider the value distribution of a differential monomial generated by a transcendental meromorphic function.

复变函数 · 数学 2018-12-06 Bikash Chakraborty

In this paper we study the normality of monomial ideals using linear programming and graph theory. We give normality criteria for monomial ideals, for ideals generated by monomials of degree two, and for edge ideals of graphs and clutters…

交换代数 · 数学 2024-02-09 Luis A. Dupont , Humberto Muñoz-George , Rafael H. Villarreal

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 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
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