Coefficient Estimates for a General Subclass of m-fold Symmetric Bi-univalent Functions by Using Faber Polynomials

Author(s):

Safa Salehian* , Ahmad Motamednezhad , ‎Nanjundan Magesh

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

In the present paper, we introduce a new subclass H∑m (λ,β)of the m-fold symmetric bi-univalent functions. Also, we find the estimates of the Taylor-Maclaurin initial coefficients |am+1| , |a2m+1| and general coefficients |amk+1| (k ≥ 2) for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Keywords:

Bi-univalent functions , m-fold symmetric bi-univalent functions , Coefficient estimates , Faber polynomials

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:18 Issue: 1, May 2023
Pages:
97 to 108
https://www.magiran.com/p2569128