On Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions

Author(s):

A K. Wanas* , A. H. Majeed

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The purpose of the present paper is to introduce and investigate two new subclasses 𝒦𝛴𝑚(𝜆,𝛾;𝛼) and 𝒦∗𝛴𝑚(𝜆,𝛾;𝛽) of 𝛴𝑚 consisting of analytic and 𝑚-fold symmetric bi-univalent functions defined in the open unit disk 𝑈. We obtain upper bounds for the coefficients |𝑎𝑚+1| and |𝑎𝑚| for functions belonging to these subclasses. Many of the well-known and new results are shown to follow as special cases of our results.

Keywords:

Analytic functions , Univalent functions , m-Fold symmetric bi-univalent functions , Coefficient estimates

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:15 Issue: 2, Nov 2020
Pages:
51 to 60
https://www.magiran.com/p2194660