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arxiv: 1809.00298 · v1 · pith:OIYZJEA3new · submitted 2018-09-02 · 🧮 math.CV

Harmonic Univalent Functions Defined by Post Quantum Calculus Operators

classification 🧮 math.CV
keywords obtainedfunctionscalculusdefinedfamilyharmonicoperatorspost
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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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