On a New Class Related to the Subclass of Close-To-Convex Functions

Gagandeep  Singh; Gurcharanjit  Singh

doi:10.5644/SJM.19.01.01

Authors

Gagandeep Singh Department of Mathematics Khalsa College, Amritsar 03200 Punjab
Gurcharanjit Singh G.N.D.U. College Chungh(Tarn-Taran) Punjab

DOI:

https://doi.org/10.5644/SJM.19.01.01

Keywords:

Univalent functions, Analytic functions, Starlike functions, Convex functions, Close-to-convex functions, Subordination

Abstract

This paper is concerned with a generalized class of analytic functions which is related to the subclass of close-to-convex functions in the open unit disc $E=\{z:|z|<1\}$. The coefficient estimates, distortion theorem, growth theorem, argument theorem, radius of convexity, Fekete-Szegö inequality and inclusion relation for the functions belonging to this class have been established. The results so obtained will provide a new direction in the study of certain new subclasses of analytic functions.