- Konuralp Journal of Mathematics
- Vol: 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
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Publication Date : 2021-04-28
Article Type : Research
Abstract :In this current study, we introduced and investigated two new subclasses of the bi-univalent functions associated with $q$-derivative operator; both $f(z)$ and $f^{-1}(z)$ 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