Certain Class of Bi-Univalent Functions Defined by Sălăgean q-Difference Operator Related with Involution Numbers

Autor:	Daniel Breaz, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Luminiţa-Ioana Cotîrlǎ
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	univalent functions starlike and convex functions bi-univalent functions Sălăgean operator q-difference operator coefficient bounds Mathematics QA1-939
Zdroj:	Symmetry, Vol 15, Iss 7, p 1302 (2023)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym15071302
Popis:	We introduce and examine two new subclass of bi-univalent function Σ, defined in the open unit disk, based on Sălăgean-type q-difference operators which are subordinate to the involution numbers. We find initial estimates of the Taylor–Maclaurin coefficients |a2| and |a3| for functions in the new subclass introduced here. We also obtain a Fekete–Szegö inequality for the new function class. Several new consequences of our results are pointed out, which are new and not yet discussed in association with involution numbers.
Databáze:	Directory of Open Access Journals
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