Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points

Abstract

We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.

Uniqueness of meromorphic functions concerning differential polynomials share one value

“…Recently, Lahiri and Sahoo [7] proved the following theorem. Theorem E. Let f and g be two non-constant meromorphic functions, and α( ≡ 0, ∞) be a small function of f and g. Let n and m(≥ 2) be two positive integers with n > max {4, 4m…”

Weighted sharing and uniqueness of memorphic functions with regard to multiplicity

“…In 1999 I. Lahiri [6] studied the uniqueness problems of meromorphic functions when two linear differential polynomials share the same 1-points. In the same paper regarding the nonlinear differential polynomials Lahiri asked the following question.…”

Nonlinear differential polynomials sharing a non-zero polynomial with finite weight

“…In 1999, Lahiri [11] asked the following question, which is perhaps the first one concerning the possible relationship between two meromorphic functions related to value sharing of the nonlinear differential polynomials generated by them:…”