Title of article :
On Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions
Author/Authors :
Wanas, Abbas Kareem Department of Mathematics - College of Science - aUniversity of Al-Qadisiyah, Iraq , Majeed, Abdulrahman H. Baghdad University, Iraq
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
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
