Analytic functions associated with cardioid domain

Authors: SARFRAZ NAWAZ MALIK, MOHSAN RAZA, JANUSZ SOKOL, SAIRA ZAINAB

Abstract: In this article, we define and study new domain for analytic functions which is named as cardioid domain for being of cardioid structure. Analytic functions producing cardioid domain are defined and studied to some extent. The Fekete-Szegö inequality is also investigated for such analytic functions.

Keywords: Analytic functions, shell-like curve, Fibonacci numbers, cardioid domain

Full Text: PDF