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pro vyhledávání: '"30D35, 30D30"'
In this short manuscript, we will put some light on the different outcomes when two non-constant meromorphic functions share a value with prescribed weight two.
Comment: arXiv admin note: text overlap with arXiv:1608.02125 by other authors
Comment: arXiv admin note: text overlap with arXiv:1608.02125 by other authors
Externí odkaz:
http://arxiv.org/abs/2403.17033
In 1992, Gundersen (Complex Var. Elliptic Equ.20 (1992), no. 1-4, 99-106.) proposed the following famous open question: if two non-constant meromorphic functions share three values IM and share a fourth value CM, then do the functions necessarily sha
Externí odkaz:
http://arxiv.org/abs/2402.03248
Autor:
Chakraborty, Bikash
This paper studies the uniqueness of two non-constant meromorphic functions when they share a finite set. Moreover, we will give the existence of unique range sets for meromorphic functions that are zero sets of polynomials that do not necessarily sa
Externí odkaz:
http://arxiv.org/abs/2104.00533
This paper studies the uniqueness of two non-integral finite ordered meromorphic functions with finitely many poles when they share two finite sets. Also, studies an answer to a question posed by Gross for a particular class of meromorphic functions.
Externí odkaz:
http://arxiv.org/abs/2005.10805
In this paper, we exhibit the equivalence between different notions of unique range sets, namely, unique range sets, weighted unique range sets and weak-weighted unique range sets under certain conditions.\par Also, we present some uniqueness theorem
Externí odkaz:
http://arxiv.org/abs/2005.00374
Let $f$ be a transcendental meromorphic function, defined in the complex plane $\mathbb{C}$. In this paper, we give a quantitative estimations of the characteristic function $T(r,f)$ in terms of the counting function of a homogeneous differential pol
Externí odkaz:
http://arxiv.org/abs/1806.02759
Autor:
Biswas, Tanmay
In this paper we wish to prove some results related to the growth rates of entire and meromorphic functions on the basis of relative (p,q) th order and relative (p,q) th type of a meromorphic function with respect to an entire function for any two po
Externí odkaz:
http://arxiv.org/abs/1711.06678
Autor:
Banerjee, Abhijit, Chakraborty, Bikash
Publikováno v:
Mathematica Moravica, Vol. 20, No. 2 (2016), PP. 1 to 14
This paper is devoted to the uniqueness problem of the power of a meromorphic function with its differential polynomial sharing a set. Our result will extend a number of results obtained in the theory of normal families. Some questions are posed for
Externí odkaz:
http://arxiv.org/abs/1702.02037
Autor:
Banerjee, Abhijit, Chakraborty, Bikash
Publikováno v:
Advances in Pure and Applied Mathematics, 8 (2017), No. 1, pp. 1 to 13
In this paper we shall find some sufficient conditions for a uniqueness polynomial to be a strong uniqueness polynomial, as this type of problem was never investigated by researchers earlier.We also exhibit some examples to substantiate our theorems.
Externí odkaz:
http://arxiv.org/abs/1701.06558
Autor:
Charak, Kuldeep Singh, Lal, Banarsi
We prove some uniqueness results which improve and generalize results of Jiang-Tao Li and Ping Li[Uniqueness of entire functions concerning differential polynomials. Commun. Korean Math. Soc. 30 (2015), No. 2, pp. 93-101].
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/1608.03712