Initial coefficient bounds for a subclass of m-fold symmetric bi-univalent functions

Ahmad Zireh; Saideh Hajiparvaneh

doi:10.5269/bspm.41077

Ahmad Zireh Shahrood University of Technology
Saideh Hajiparvaneh Shahrood University of Technology

Abstract

‎In this paper‎, ‎we introduce and investigate a subclass‎ of analytic and bi-univalent functions which both $f(z)$ and $f^{-1}(z)$ are m-fold symmetric in the open unit disk U‎. Furthermore‎, ‎we find upper bounds for the initial coefficients $|a_{m‎ + ‎1}|$ and $|a_{2m‎ + ‎1}|$ for functions in this subclass‎. ‎The results presented in this paper would generalize and improve some recent works‎.

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