Subclasses of Bi-Sakaguchi Function Associated with $q-$Difference Operato

Abstract

In this work, the authors introduce a subclass $\zeta\Sigma^{\lambda}_{q}(b,\phi)$ in the open unit disk which associated with $q$-difference operator and satisfy some subordination conditions. The estimates for $\left|a_{2} \right|$ and $\left|a_{3} \right|$ are obtained by making use of Taylor-Maclaurin series. Our results serve as a new generalization in this direction and still pave way for researchers to study this class by means of the Chebyshev polynomials and Sigmoid functions.