On normalized Rabotnov function associated with two subclasses of analytic functions with positive coefficients: On normalized Rabotnov function: D. A. AL-Akhras, B. A. Frasin.

Autor: AL-Akhras, Dania Ahmad, Frasin, Basem Aref
Zdroj: Afrika Matematica; Mar2025, Vol. 36 Issue 1, p1-9, 9p
Abstrakt: Let R α , β (z) = z + ∑ n = 2 ∞ β n - 1 Γ (1 + α) Γ ((1 + α) n) z n be the normalized Rabotnov functions. The purpose of the present paper is to determine necessary and sufficient conditions and inclusion relation for the normalized Rabotnov function R α , β (z) to be in two subclasses of analytic functions with positive coefficients. Further, we consider an integral operator related to the Rabotnov function R α , β (z) . Several examples of the main results are also considered. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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