Some Results on Third-Order Differential Subordination and Differential Superordination for Analytic Functions Using a Fractional Differential Operator

Autor:	Faten Fakher Abdulnabi, Hiba F. Al-Janaby, Firas Ghanim, Alina Alb Lupaș
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	analytic functions differential subordination differential superordination best dominant best subordinate fractional derivative Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 18, p 4021 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11184021
Popis:	In this study, we explore the implications of a third-order differential subordination in the context of analytic functions associated with fractional differential operators. Our investigation involves the consideration of specific admissible classes of third-order differential functions. We also extend this exploration to establish a dual principle, resulting in a sandwich-type outcome. We introduce these admissible function classes by employing the fractional derivative operator DzαSN,Sϑz and derive conditions on the normalized analytic function f that lead to sandwich-type subordination in combination with an appropriate fractional differential operator.
Databáze:	Directory of Open Access Journals
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