Analytic functions associated with cardioid domain
Sarfraz Nawaz Malik, Mohsan Raza, Janusz Sokół, 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.
Topics & Concepts
MathematicsAnalytic functionDomain (mathematical analysis)Non-analytic smooth functionGlobal analytic functionQuasi-analytic functionPure mathematicsAnalytic element methodAlgebra over a fieldCalculus (dental)Mathematical analysisMedicineThermodynamicsDentistryFinite element methodPhysicsAnalytic and geometric function theory