Uniqueness of derivative of an entire function that shares pair values with derivative of its difference operator
Year: 2024
Type: article
Abstract: The main objective of this article is to examine the uniqueness of \(k\)th derivative of transcendental entire function and \(i\)th derivative of its difference operator that share pair values \((\alpha_{1}, \alpha_{2})\), 0 IM and zeros of \(k\)th derivative of transcendental entire function contained in \(i\)th derivative of its difference operator. Meanwhile all of which greatly generalizes the outcomes obtained by X. Huang [11] and L. Sheng [16].
Source: Serdica Mathematical Journal
Authors: Renukadevi Dyavanal, Shakuntala Kalakoti
Institution: Karnatak University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405719793