CERTAIN PROPERTIES OF A NEW SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS
By
Gagandeep Singh1, Gurcharanjit Singh2, Navyodh Singh3 and Navjeet Singh4
1,3,4Department of Mathematics, Khalsa College, Amritsar, Punjab, India-143001.
2Department of Mathematics, GNDU College, Chungh(TT), Punjab, India-143304.
Email:kamboj.gagandeep@yahoo.in; navyodh81@yahoo.co.in; navjeet8386@yahoo.com, dhillongs82@yahoo.com
(Received: August 02, 2023; In format: August 22, 2023; Revised: August 29, 2023; Accepted: October 30, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53219
Abstract
The purpose of this paper is to study a new subclass of close-to-convex functions associated with generalized Janowski's function. Various properties such as coecient estimates, inclusion relationship, distortion property, argument property and radius of convexity, are established for this class. The results mentioned here, generalize some earlier known results.
2020 Mathematical Sciences Classification: 30C45, 30C50.
Keywords and Phrases: Analytic functions, Univalent functions, Subordination, Close-to-convex functions, Distortion theorem, Argument theorem.