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Uniqueness of meromorphic functions and their powers in set sharing

Erajikkappa Manjunath, Waghamore Harina P.

Journal of Applied Analysis

2024

Vol. 30, nr 1

157--172

The objective of this study is to determine whether the existence of shared sets S containing both meromorphic (entire) functions and their higher derivatives, as well as powers of meromorphic functions and their differential polynomials, could result in uniqueness. The main focus is on determining the precise solutions to various differential equations. This problem is being studied in a broader context, specifically in set sharing.

Some results on uniqueness and value distribution for q-shift difference differential polynomials

Waghamore Harina P., Maligi Ramya

Fasciculi Mathematici

2020

nr 63

87--101

In this paper, we investigate the uniqueness and value distribution of g-shift difference differential polynomials of entire and meromorphic functions with zero order and obtain some results which improve and generalizes the previous results of Harina P. Waghamore and Sangeetha Anand [1].

Uniqueness of meromorphic functions of differential polynomials sharing a small function with finite weight

Waghamore Harina P., Bhoosnurmath Vijaylaxmi

Journal of Applied Analysis

2019

Vol. 25, nr 2

141--153

Let f be a non-constantmeromorphic function and a = a(z) (≢ 0,∞) a small function of f . Here, we obtain results similar to the results due to Indrajit Lahiri and Bipul Pal [Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small function, Bull. KoreanMath. Soc. 54 (2017), no. 3, 825-838] for a more general differential polynomial by introducing the concept ofweighted sharing.