Title of article :
Coeffcient Estimates for a General Subclass of m-fold Symmetric Bi-univalent Functions by Using Faber Polynomials
Author/Authors :
Salehian ، Safa Department of Mathematics - Islamic Azad University, Gorgan Branch , Motamednezhad ، Ahmad Faculty of Mathematical Sciences - Shahrood University of Technology , Magesh ، Nanjundan Post-Graduate and Research Department of Mathematics - Government Arts College for Men
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
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)