Certain New Subclasses of $t$-fold Symmetric Bi-univalent Function Using $Q$-derivative Operator

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Konuralp Journal of Mathematics
Volume:9 Issue:1
Certain New Subclasses of $t$-fold Symmetric Bi-univalent Function Using $Q$-derivative Operator

Certain New Subclasses of $t$-fold Symmetric Bi-univalent Function Using $Q$-derivative Operator

Authors : Timilehin SHABA

Pages : 137-142

View : 48 | Download : 18

Publication Date : 2021-04-28

Article Type : Research Paper

Abstract :In this current study, we introduced and investigated two new subclasses of the bi-univalent functions associated with $q$-derivative operator; both $finsert ignore into journalissuearticles values(z);$ and $f^{-1}insert ignore into journalissuearticles values(z);$ are $t$-fold symmetric holomorphic functions in the open unit disk. Among other results, upper bounds for the coefficients $|\rho_{t+1}|$ and $|\rho_{2t+1}|$ are found in this study. Also certain special cases are indicated.
Keywords : t fold symmetric bi univalent functions, analytic functions, univalent function

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