Some properties of analytic functions associated with fractional q-calculus operators

Some properties of analytic functions associated with fractional q-calculus operators

By applying a fractional q-calculus operator, we define the subclasses ... and ... of normalized analytic functions with complex order and negative coefficients. Among the results investigated for each of these function classes, we derive their associated coefficient estimates, radii of close-to-con...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2019, Vol.20 (2), p.1245-1260
Hauptverfasser: Srivastava, H. M., Aouf, M. K., Mostafa, A. O.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Convexity
Mathematical analysis
Operators (mathematics)
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Beschreibung
Zusammenfassung:By applying a fractional q-calculus operator, we define the subclasses ... and ... of normalized analytic functions with complex order and negative coefficients. Among the results investigated for each of these function classes, we derive their associated coefficient estimates, radii of close-to-convexity, starlikeness and convexity, extreme points, and growth and distortion theorems.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2019.3046