Certain Geometric Properties of Normalized Wright Functions

Certain Geometric Properties of Normalized Wright Functions

In this article, we find some geometric properties like starlikeness, convexity of order α, close-to-convexity of order 1+α/2, and close-to-convexity of normalized Wright functions with respect to the certain functions. The sufficient conditions for the normalized Wright functions belonging to the c...

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Veröffentlicht in:Journal of function spaces 2016-01, Vol.2016 (2016), p.1-8
Hauptverfasser: Raza, Mohsan, Malik, Sarfraz Nawaz, Din, Muhey U
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Convex analysis
Convex functions
Convexity
Function space
Information technology
Mathematical research
Partial differential equations
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Zusammenfassung:In this article, we find some geometric properties like starlikeness, convexity of order α, close-to-convexity of order 1+α/2, and close-to-convexity of normalized Wright functions with respect to the certain functions. The sufficient conditions for the normalized Wright functions belonging to the classes Tγα and Lγα are the part of our investigations. We also obtain the conditions on normalized Wright function to belong to the Hardy space Hp.
ISSN:2314-8896
2314-8888
DOI:10.1155/2016/1896154