Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions

Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions

The purpose of this paper is to introduce necessary and sufficient condition of (Gaussian) hypergeometric functions to be in a subclass of uniformly starlike and uniformly convex functions. Operators related to hypergeometric functions are also considered. Some of our results correct previously know...

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Veröffentlicht in:Journal of the Egyptian Mathematical Society 2015-10, Vol.23 (3), p.476-481
Hauptverfasser: Aouf, M.K., Mostafa, A.O., Zayed, H.M.
Format: Artikel
Sprache:eng
Schlagworte:
Convex
Hypergeometric function
Starlike
Uniformly convex
Uniformly starlike
Univalent
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Zusammenfassung:The purpose of this paper is to introduce necessary and sufficient condition of (Gaussian) hypergeometric functions to be in a subclass of uniformly starlike and uniformly convex functions. Operators related to hypergeometric functions are also considered. Some of our results correct previously known results.
ISSN:1110-256X
2090-9128
DOI:10.1016/j.joems.2015.01.002