EUDML

Currently displaying 1 – 9 of 9

Order by Relevance | Title | Year of publication

Uniqueness and weighted value sharing of meromorphic functions.

Sahoo, Pulak — 2011

Applied Mathematics E-Notes [electronic only]

Uniqueness of meromorphic functions sharing three weighted values.

Lahiri, Indrajit; Sahoo, Pulak — 2008

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Uniqueness and weighted sharing of meromorphic functions

Pulak Sahoo — 2011

Annales Polonici Mathematici

We study the uniqueness of meromorphic functions using nonlinear differential polynomials and the weighted value sharing method. Though the main concern of the paper is to improve a recent result of L. Liu [Comput. Math. Appl. 56 (2008), 3236-3245], as a consequence of the main result we also improve and generalize some former results of T. Zhang and W. Lu [Comput. Math. Appl. 55 (2008), 2981-2992], A. Banerjee [Int. J. Pure Appl. Math. 48 (2008), 41-56] and a recent result of the present author...

Meromorphic functions that share a nonzero polynomial IM

Pulak Sahoo — 2012

Mathematica Bohemica

We study the uniqueness theorems of meromorphic functions concerning differential polynomials sharing a nonzero polynomial IM, and obtain two theorems which will supplement two recent results due to X. M. Li and L. Gao.

Uniqueness and differential polynomials of meromorphic functions sharing a nonzero polynomial

Pulak Sahoo — 2016

Mathematica Bohemica

Let $k$ be a nonnegative integer or infinity. For $a \in ℂ \cup {\infty}$ we denote by $E_{k} (a; f)$ the set of all $a$ -points of $f$ where an $a$ -point of multiplicity $m$ is counted $m$ times if $m \leq k$ and $k + 1$ times if $m > k$ . If $E_{k} (a; f) = E_{k} (a; g)$ then we say that $f$ and $g$ share the value $a$ with weight $k$ . Using this idea of sharing values we study the uniqueness of meromorphic functions whose certain nonlinear differential polynomials share a nonzero polynomial with finite weight. The results of the paper improve and generalize the related results due to Xia and Xu (2011)...

Uniqueness of meromorphic functions when two differential polynomials share one value IM

Pulak Sahoo — 2010

Matematički Vesnik

Uniqueness of meromorphic functions when two non-linear differential polynomials share a small function

Indrajit Lahiri; Pulak Sahoo — 2008

Archivum Mathematicum

In the paper we deal with the uniqueness of meromorphic functions when two non-linear differential polynomials generated by two meromorphic functions share a small function.