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UNICITY RELATION TO ENTIRE FUNCTIONS AND THEIR DIFFERENTIAL DIFFERENCE POLYNOMIALS.

Authors :
WAGHAMORE, HARINA P.
MANJUNATH, B. E.
Source :
Journal of Classical Analysis; Apr2024, Vol. 23 Issue 2, p79-94, 16p
Publication Year :
2024

Abstract

In this article, we investigate the problem of sharing values between entire functions f(z) and f<subscript>1</subscript>(z) = b<subscript>-1</subscript> + ... b<subscript>i</subscript> f<superscript>(ki)</superscript>(z+iη) share two distinct values a with counted and b with ignoring multiplicities, where b<subscript>-1</subscript> and b<subscript>i</subscript>(i = 0,1· · ·, n) are small meromorphic functions of f(z), k<subscript>i</subscript> ≥ 0 (i = 0,1, · · ·, n) are integers. In relation to previous research, we obtain results that improve and generalise the findings conducted by Yang and Qi [CMFT, 20.1 (2020): 159-178]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
18485979
Volume :
23
Issue :
2
Database :
Complementary Index
Journal :
Journal of Classical Analysis
Publication Type :
Academic Journal
Accession number :
179456048
Full Text :
https://doi.org/10.7153/jca-2024-23-07