Document Type : Research Paper

Authors

• S. O. Olatunji ¹
• Trailokya Panigrahi ²

¹ Department of Mathematical Sciences, Federal University of Technology, P.M.B.704, Akure, Nigeria

² Institute of Mathematics and Applications, Andharua, Bhubaneswar-751029, Odisha, India

Abstract

The aim of this study is to introduce the new subclasses of bi-univalent functions coupled with subordination in the mirror of $(p,q)$-analogue of the modified sigmoid function in the unit disc $\mathbb{U}=\left\lbrace z\in \mathbb{C}:|z|<1\right\rbrace $. The first two immediate Taylor-Maclaurin coefficients for the function belonging to these newly introduced classes are obtained. The results are new and a number of corollaries are developed by varying the parameters involved.

Keywords

• Analytic function
• Bi-univalent function
• Coefficient bounds
• (p
• q)-analogue of the sigmoid function