Zobrazeno 1 - 10
of 67
pro vyhledávání: '"CHARAK, Kuldeep Singh"'
Autor:
Mehta, Sonam, Charak, Kuldeep 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 wandering holomorp
Externí odkaz:
http://arxiv.org/abs/2411.01666
Autor:
Charak, Kuldeep Singh, Bharti, Nikhil
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 certain diffe
Externí odkaz:
http://arxiv.org/abs/2303.05292
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 also establ
Externí odkaz:
http://arxiv.org/abs/2210.00481
Autor:
Charak, Kuldeep Singh, Kumar, Rahul
In this paper, besides a counterexample to Bloch's principle, normality criteria leading to counterexamples to the converse of Bloch's principle in several complex variables are proved. Some Picard-type theorems and their corresponding normality crit
Externí odkaz:
http://arxiv.org/abs/2209.04328
Let $\mathcal{F}\subset\mathcal{M}(D)$ and let $a, b$ and $c$ be three distinct complex numbers. If, there exist a holomorphic function $h$ on $D$ and a positive constant $\rho$ such that for each $f\in\mathcal{F},$ $f$ and $f^{'}$ partially share th
Externí odkaz:
http://arxiv.org/abs/2209.04314
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 in F, ther
Externí odkaz:
http://arxiv.org/abs/2104.00532
Autor:
Charak, Kuldeep Singh, Kumar, Rahul
In this note we give some variations on an extension of Caratheodory's normality criterion due to Grahl and Nevo.
Comment: 07
Comment: 07
Externí odkaz:
http://arxiv.org/abs/2103.11767
This paper is a continuation of authors work: Fatou and Julia like sets,Ukranian J. Math., to appear/arXiv:2006.08308[math.CV](see [4]). Here, we introduce escaping like set and generalized escaping like set for a family of holomorphic functions on a
Externí odkaz:
http://arxiv.org/abs/2006.09095
For a family of holomorphic functions on an arbitrary domain, we introduce Fatou and Julia like sets, and establish some of their interesting properties.
Comment: 07
Comment: 07
Externí odkaz:
http://arxiv.org/abs/2006.08308
Autor:
Charak, Kuldeep Singh, Kumar, Rahul
We prove a Zalcman-Pang lemma in several complex variables and apply it to obtain several complex variables analogues of the known normality criteria like Lappan's five-point theorem and Schwick's theorem.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/2002.10820