Results on Univalent Functions Defined by q-Analogues of Salagean and Ruscheweh Operators

Autor:	Ebrahim Amini, Mojtaba Fardi, Shrideh Al-Omari, Kamsing Nonlaopon
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	univalent functions q-analogues Salagean operators q-calculus Ruscheweh operators Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 8, p 1725 (2022)
Druh dokumentu:	article
ISSN:	14081725 2073-8994
DOI:	10.3390/sym14081725
Popis:	In this paper, we define and discuss properties of various classes of analytic univalent functions by using modified q-Sigmoid functions. We make use of an idea of Salagean to introduce the q-analogue of the Salagean differential operator. In addition, we derive families of analytic univalent functions associated with new q-Salagean and q-Ruscheweh differential operators. In addition, we obtain coefficient bounds for the functions in such new subclasses of analytic functions and establish certain growth and distortion theorems. By using the concept of the (q, δ)-neighbourhood, we provide several inclusion symmetric relations for certain (q, δ)-neighbourhoods of analytic univalent functions of negative coefficients. Various q-inequalities are also discussed in more details.
Databáze:	Directory of Open Access Journals
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