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1. Univalent Functions Associated with the Symmetric Points and Cardioid-shaped Domain Involving (p, q)-calculus.

Author

AHUJA, OM, BOHRA, NISHA, ÇETINKAYA, ASENA, and KUMAR, SUSHIL

Subjects
*SYMMETRIC functions, *UNIVALENT functions, *STAR-like functions, *CONVEX functions
Abstract

In this paper, we introduce new classes of post-quantum or (p; q)-starlike and convex functions with respect to symmetric points associated with a cardiod-shaped domain. We obtain (p; q)-Fekete-Szego inequalities for functions in these classes. We also obtain estimates of initial (p; q)-logarithmic coefficients. In addition, we get q-Bieberbachde-Branges type inequalities for the special case of our classes when p = 1. Moreover, we also discuss some special cases of the obtained results. [ABSTRACT FROM AUTHOR]

Published
2021
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