Tang, H., Deng, G., Li, S. (2024). Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator. test, 22(1), 36-44. doi: 10.1016/j.joems.2013.06.009
Huo Tang; Guan-Tie Deng; Shu-Hai Li. "Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator". test, 22, 1, 2024, 36-44. doi: 10.1016/j.joems.2013.06.009
Tang, H., Deng, G., Li, S. (2024). 'Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator', test, 22(1), pp. 36-44. doi: 10.1016/j.joems.2013.06.009
Tang, H., Deng, G., Li, S. Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator. test, 2024; 22(1): 36-44. doi: 10.1016/j.joems.2013.06.009

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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