On Geometric Properties of Normalized Hyper-Bessel Functions

On Geometric Properties of Normalized Hyper-Bessel Functions

In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc. We also study the Hardy spaces of hyper-Bessel functions.

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Veröffentlicht in:Mathematics (Basel) 2019-04, Vol.7 (4), p.316
Hauptverfasser: Ahmad, Khurshid, Mustafa, Saima, Din, Muhey U., ur Rehman, Shafiq, Raza, Mohsan, Arif, Muhammad
Format: Artikel
Sprache:eng
Schlagworte:
Bessel functions
close-to-convexity
Convex analysis
convexity
Hardy space
hyper-Bessel functions
Hypotheses
Inequality
Mathematics
starlikeness
univalent functions
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Zusammenfassung:In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc. We also study the Hardy spaces of hyper-Bessel functions.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7040316