Open AccessOn Some Subclasses of $m$-fold Symmetric Bi-univalent Functions associated with the Sakaguchi Type Functions
Author(s) -
Ismaila Omeiza Ibrahim,
Timilehin Gideon Shaba,
Amol B. Patil
Publication year - 2021
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.8122.115
Subject(s) - sigma , lambda , combinatorics , fold (higher order function) , mathematics , type (biology) , function (biology) , symmetric function , class (philosophy) , unit (ring theory) , unit disk , pure mathematics , physics , computer science , quantum mechanics , biology , ecology , mathematics education , evolutionary biology , artificial intelligence , programming language
In the present investigation, we introduce the subclasses $\Lambda_{\Sigma_m}^{\rightthreetimes}(\sigma,\phi,\upsilon)$ and $\Lambda_{\Sigma_m}^{\rightthreetimes}(\sigma,\gamma,\upsilon)$ of $m$-fold symmetric bi-univalent function class $\Sigma_m$, which are associated with the Sakaguchi type of functions and defined in the open unit disk. Further, we obtain estimates on the initial coefficients $b_{m+1}$ and $b_{2m+1}$ for the functions of these subclasses and find out connections with some of the familiar classes.