Connections between Certain Subclasses of Analytic Univalent Functions Based on Operators

Connections between Certain Subclasses of Analytic Univalent Functions Based on Operators

In this paper, by applying the Hohlov linear operator, connections between the class SD(α),  α≥0, and two subclasses of the class A of normalized analytic functions are established. Also an integral operator related to hypergeometric function is considered.

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Veröffentlicht in:Journal of Complex Analysis 2017-01, Vol.2017, p.1-5
Hauptverfasser: Ezhilarasi, R., Sudharsan, T. V., Haji Mohd, Maisarah, Subramanian, K. G.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Convex analysis
Functional equations
Functions
Hypergeometric functions
Hypotheses
Linear operators
Mappings (Mathematics)
Mathematical analysis
Mathematical research
Mathematics
Operators (mathematics)
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Zusammenfassung:In this paper, by applying the Hohlov linear operator, connections between the class SD(α),  α≥0, and two subclasses of the class A of normalized analytic functions are established. Also an integral operator related to hypergeometric function is considered.
ISSN:2314-4963
2314-4971
DOI:10.1155/2017/6104210