COEFFICIENT PROBLEMS FOR THE SUBCLASSES OF SAKAGUCHI TYPE FUNCTIONS ASSOCIATED WITH SINE FUNCTION
By
Gagandeep Singh1 and Gurcharanjit Singh2
1Department of Mathematics, Khalsa College, Amritsar-143001, Punjab, India
2Department of Mathematics, GNDU College, Chungh-143304, Punjab, India
Email:kamboj.gagandeep@yahoo.in, dhillongs82@yahoo.com
(Received : June 22, 2021 ; Revised in final form : November 29,2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51230
Abstract
The estimation of the upper bound for certain coefficient relations of various subclasses of analytic functions is an active topic of research in Geometric function theory. In this paper, certain subclasses of Sakaguchi type functions are defined by subordinating to sine function in the open unit disc E = {z : |z| < 1} and some coefficient inequalities such as Fekete-Szegö inequality, Second Hankel determinant, Zalcman functional and third Hankel determinant are investigated.
2020 Mathematical Sciences Classification: 30C45, 30C50.
Keywords and Phrases: Analytic functions, Sakaguchi type functions, subordination, coefficient problem, Hankel determinant