Publication: Harmonic Univalent Functions Defined by Post Quantum Calculus Operators
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Date
2019-08
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SCIENDO, DE GRUYTER POLAND SP Z O O, BOGUMILA ZUGA 32A STR, 01-811 WARSAW, POLAND
Abstract
We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions. Using this, coefficients estimates, distortion and covering theorems were also obtained. The extreme points of the family and a radius result were also obtained. The results obtained include several known results as special cases.
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Keywords
(p, q)-calculus, q-calculus, (p, q)-Salagean Harmonic Function, Salagean Differential Operator