On the Uniqueness of - Shift Difference-Differential Polynomials of – Functions | Chapter 44 | Innovative Solutions: A Systematic Approach towards Sustainable Future

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  - difference polynomial Φₖ(f,Eᵩ,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].

Author (s) Details

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.

Please see the book here:- https://doi.org/10.9734/bpi/mono/978-93-49238-47-3/CH44

Uniqueness Functions Sharing Two Values Concerning Difference-Differential Polynomials | Chapter 38 | Innovative Solutions: A Systematic Approach towards Sustainable Future

In this paper, we investigate the uniqueness of meromorphic functions regarding difference-differential polynomials that share two values using the concept of weighted sharing of sets. We derive some results that generalize, improve and extend the results of Wang and Gao [1], Yang and Hua [2], and Fang and Qiu [3]. Finally, we pose an open questions for future research.

 

Author (s) Details

 

Harina P. Waghamore
Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru-560056, India.

 

Naveenkumar B. N.
Department of Mathematics, Jnanabharathi Campus, Bangalore University, Bengaluru-560056, India.

 

Please see the book here:- https://doi.org/10.9734/bpi/mono/978-93-49238-47-3/CH38