Third-Order Differential Subordination Features of Meromorphic Functions: Erdelyi–Kober Model Integral Operator Application

Autor:	Ibrahim S. Elshazly, Borhen Halouani, Rabha M. El-Ashwah, Alaa H. El-Qadeem, Gangadharan Murugusundaramoorthy
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	meromorphic analytic multivalent subordination superordination sandwich Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 11, p 770 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13110770
Popis:	This study is concerned with the class of p-valent meromorphic functions, represented by the series f(ζ)=ζ−p+∑k=1−p∞dkζk, with the domain characterized by 0<|ζ|<1. We apply an Erdelyi–Kober-type integral operator to derive two recurrence relations. From this, we draw specific conclusions on differential subordination and differential superordination. By looking into suitable classes of permitted functions, we obtain various outcomes, including results analogous to sandwich-type theorems. The operator used can provide generalizations of previous operators through specific parameter choices, thus providing more corollaries.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e329e7005e6f42c0a2b36f3bb3d86def Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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