Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions

Date

2019

Authors

Mahmood, Shahid
Sokół, Janusz
Srivastava, H.M.
Malik, Sarfraz Nawaz

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

Abstract

The present paper comprises the study of certain functions which are analytic and defined in terms of reciprocal function. The reciprocal classes of close-to-convex functions and quasi-convex functions are defined and studied. Various interesting properties, such as sufficiency criteria, coefficient estimates, distortion results, and a few others, are investigated for these newly defined sub-classes.

Description

Keywords

subordination, functions with positive real part, reciprocals

Citation

Mahmood, S., Sokół, J., Srivastava, H.M. & Malik, S.N. (2019). Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions. Mathematics, 7(4), 309. https://doi.org/10.3390/math7040309