Harmonic univalent functions defined by post quantum calculus operators

Harmonic univalent functions defined by post quantum calculus operators

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 o...

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Veröffentlicht in:Acta universitatis sapientiae. Mathematica 2019-08, Vol.11 (1), p.5-17
Hauptverfasser: Ahuja, Om P., Çetinkaya, Asena, Ravichandran, V.
Format: Artikel
Sprache:eng
Schlagworte:
(p, q)-calculus
(p, q)-sălăgean harmonic function
30c50
30c99
81q99
q-calculus
sălăgean differential operator
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Zusammenfassung: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.
ISSN:2066-7752
2066-7752
DOI:10.2478/ausm-2019-0001