Open AccessCertain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator
Author(s) -
Huo Tang,
Guantie Deng,
Shuhai Li
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.06.009
Subject(s) - subordination (linguistics) , analytic function , unit disk , mathematics , convolution (computer science) , operator (biology) , convex function , pure mathematics , fractional calculus , hadamard product , mathematical analysis , regular polygon , computer science , geometry , hadamard transform , philosophy , linguistics , biochemistry , chemistry , repressor , machine learning , artificial neural network , transcription factor , gene
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