Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function

Autor:	Sercan Kazımoğlu, Erhan Deniz, Luminita-Ioana Cotirla
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	analytic functions Miller–Ross functions univalence convexity special functions univalent functions Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 6, p 563 (2023)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms12060563
Popis:	It is very well-known that the special functions and integral operators play a vital role in the research of applied and mathematical sciences. In this paper, our aim is to present sufficient conditions for the families of integral operators containing the normalized forms of the Miller–Ross functions such that they can be univalent in the open unit disk. Moreover, we find the convexity order of these operators. In proof of results, we use some differential inequalities related with Miller–Ross functions and well-known lemmas. The various results, which are established in this paper, are presumably new, and their importance is illustrated by several interesting consequences and examples.
Databáze:	Directory of Open Access Journals
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