Article overview
Abstract
In this work, we employ the Salagean \(q\)-differential operator in conjunction with involution numbers to define a new subclass of bi-univalent functions in the open unit disk. For this class, we derive coefficient estimates, including bounds for the general Taylor–Maclaurin coefficients and the Fekete–Szeg? functional coefficients.
Keywords and Phrases
Analytic functionsUnivalent and Bi-univalent functionsFekete-Szeg$\ddot{o}$ inequalityInvolution numbers and Salagean $q$-differential operator.
AMS Subject Classification
Primary 30C45, Secondary 30C50.
Reference information
How to Cite
P. Nandini, S. Yalcin, S. Latha (2026). A NEW SUBCLASS OF BI-UNIVALENT FUNCTIONS RELATED TO $q$-DIFFERENTIAL OPERATOR AND INVOLUTION NUMBERS. South East Asian Journal of Mathematics and Mathematical Sciences, 22(2), 109-122.