On the Uniqueness of q - Shift Difference-Differential Polynomials of L - Functions

Authors

  • Harina P. Waghamore Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru 560-056, India.
  • Megha M. Manakame Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru 560-056, India.

DOI:

https://doi.org/10.9734/bpi/mono/978-93-49238-47-3/CH44

Keywords:

Meromorphic functions, L - functions, linear q - difference, weighted sharing, uniqueness, small function and rational function

Abstract

In this paper using the notion of weighted sharing, we mainly study the value distribution of L - function and an arbitrary meromorphic function with the uniqueness of certain type of linear q - difference polynomial \(\phi_k(f,E_{q,c})\), which shares a small function and rational function. Our results of the paper extends recent results due to W. J. Hao and J. F. Chen. [1], N. Mandal [2].

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Published

2025-02-10

How to Cite

Harina P. Waghamore, & Megha M. Manakame. (2025). On the Uniqueness of q - Shift Difference-Differential Polynomials of L - Functions. Innovative Solutions: A Systematic Approach Towards Sustainable Future, Edition 1, 435–448. https://doi.org/10.9734/bpi/mono/978-93-49238-47-3/CH44

Issue

Innovative Solutions: A Systematic Approach Towards Sustainable Future, Edition 1

Section

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