The (p. q)-analogue of sigmoid function in the mirror of bi-univalent functions coupled with subordination

Document Type : Research Paper


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


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.


Volume 13, Issue 2
July 2022
Pages 953-961
  • Receive Date: 07 August 2020
  • Revise Date: 07 March 2021
  • Accept Date: 12 April 2021
  • First Publish Date: 16 April 2022