Jñānābha, Vol. 51 (1) (2021), (74-78)
Jñānābha, Vol. 51 (1) (2021), (74-78)
SOME GENERALIZED SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED WITH SUBORDINATION
By
Gurmeet Singh¹ , Gagandeep Singh² and Gurcharanjit Singh³
¹Department of Mathematics,GSSDGS Khalsa College, Patiala-147001, Punjab, India.
Email:meetgur111@gmail.com
²Department of Mathematics, Khalsa College, Amritsar-143001, Punjab, India.
Email:kamboj.gagandeep@yahoo.in
³Research Scholar, Dept. of Mathematics, Pbi. University, Patiala-147002, Punjab, India.
Dept. of Mathematics, GNDU College, Chungh(Tarn Taran)-143304, Punjab, India.
Email:dhillongs82@yahoo.com
(Received: February 14, 2021 ; Revised in final form : March 09, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51111
Abstract
The aim of this paper is to introduce some generalized subclasses of bi-univalent functions defined with subordination in the unit disc E = {z :| z |< 1}. The coefficient estimates of the first two coefficients for the functions in these classes are investigated. The results due to various authors follow as special cases.
2010 Mathematics Subject Classifications: 30C45, 30C50.
Keywords and phrases: Analytic functions, univalent functions, bi-univalent functions, coefficient estimates, subordination.