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Further Investigations on Weighted Value Sharing and Uniqueness of Meromorphic Functions

Sudip Saha, Amit Kumar Pal, Soumon Roy

Abstract

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.

Further Investigations on Weighted Value Sharing and Uniqueness of Meromorphic Functions

Abstract

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.
Paper Structure (6 sections, 3 theorems, 57 equations)

This paper contains 6 sections, 3 theorems, 57 equations.

Table of Contents

  1. Introduction, Definition and Results
  2. Main Results
  3. Lemmas
  4. Proof of the Theorem
  5. Conflict of Interest Declaration
  6. Acknowledgements

Key Result

Theorem 2.1

Let, $f, g$ be two non-constant meromorphic functions which share $(1,2)$ and $a(\neq 0, 1, \infty), b(\neq a, 0, 1, \infty)$ be two complex numbers. Then one of the following cases holds:

Theorems & Definitions (11)

  • Definition 1.1
  • Definition 1.2
  • Definition 1.3
  • Definition 1.4
  • Definition 1.5
  • Definition 1.6
  • Theorem 2.1
  • Lemma 3.1: il
  • Lemma 3.2
  • proof
  • ...and 1 more