Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 22, Issue 1, 2014, Pages 36-44 PDF (500.5 K) | ||
| Document Type: Original Article | ||
| DOI: 10.1016/j.joems.2013.06.009 | ||
| Authors | ||
| Huo Tang1; Guan-Tie Deng1; Shu-Hai Li2 | ||
| 1School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China | ||
| 2School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia, China | ||
| 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 pvalently analytic functions in the open unit disk. Such results as inclusion relationships, integralpreserving properties, convolution properties, subordination and superordination properties, and sandwich theorems for these classes are derived. | ||
| Keywords | ||
| Analytic functions; p-Valently functions; Hadmard product (or convolution); Differential subordination; Superordination; Fractional differintegral operator | ||
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