Title | ||
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A class of integral operators preserving subordination and superordination for meromorphic functions |
Abstract | ||
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The purpose of the present paper is to investigate several subordination- and superordination-preserving properties of a certain class of integral operators, which are defined on the space of meromorphic functions in the punctured open unit disk. The sandwich-type theorem for these integral operators is also presented. Moreover, we consider an application of the subordination and superordination theorem to the Gauss hypergeometric function. |
Year | DOI | Venue |
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2007 | 10.1016/j.amc.2007.03.084 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Meromorphic functions,Differential subordination,Differential superordination,Meromorphic starlike functions,Meromorphic convex functions,Integral operators,Best subordinant,Best dominant,Gauss hypergeometric function | Hypergeometric function,Gauss hypergeometric function,Meromorphic function,Mathematical analysis,Convex function,Operator (computer programming),Unit disk,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
193 | 2 | 0096-3003 |
Citations | PageRank | References |
5 | 1.51 | 0 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nak Eun Cho | 1 | 38 | 12.38 |
Oh Sang Kwon | 2 | 7 | 5.97 |
Shigeyoshi Owa | 3 | 35 | 16.04 |
H.M. Srivastava | 4 | 168 | 46.37 |