Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator |
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Institution: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;2. School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia, China |
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Abstract: | By making use of the principle of subordination between analytic functions and the generalized fractional differintegral operator, we introduce and investigate some new subclasses of p-valently analytic functions in the open unit disk. Such results as inclusion relationships, integral-preserving properties, convolution properties, subordination and superordination properties, and sandwich theorems for these classes are derived. |
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Keywords: | Analytic functions Hadmard product (or convolution) Differential subordination Superordination Fractional differintegral operator |
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