A Certain Subclass of Multivalent Analytic Functions Defined by Fractional Calculus Operator
Jamal M. Shenan, Ghazi S. Khammash
Journal of Advances in Mathematics and Computer Science · pp. 432–452 · Published 13 Nov 2013
10.9734/BJMCS/2014/4905Abstract
In this paper we introduce a new subclass of multivalent analytic functions defined by fractional calculus operator. Such results as subordination and superordination properties, convolution properties, inequality properties and other interesting properties of this subclass are proved.
References (21)
- 1 Differential subordinations theory and applications
- 2 Subordinants of differential superordinations [DOI]
- 3 Univalent and Starlike Generalized Hypergeometric Functions [DOI]
- 4 On the Coefficients of Subordinate Functions [DOI]
- 5 A remark on integral operators involving the Gauss hypergeometric functions [DOI]
- 6 Univalent Functions, Fractional Calculus, and Their Applications
- 7 On sandwich theorems for some classes of analytic functions [DOI]
- 8 The Radius of Univalence of Certain Analytic Functions. II [DOI]
- 9 A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients [DOI]
- 10 Differential subordination and superordination of analytic functions defined by the multiplier transformation [DOI]
- 11 On generalized Srivastava-Owa fractional operators in the unit disk [DOI]
- 12 On certain subclasses of multivalent functions associated with an extended fractional differintegral operator [DOI]
- 13 A CERTAIN BOUNDARY VALUE PROBLEM FOR THE EULER-DARBOUX EQUATION. II
- 14 Some properties of a certain subclass of multivalent analytic functions involving the Liu–Owa operator [DOI]
- 15 Modified fractional Cauchy problem in a complex domain [DOI]
- 16 A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operator
- 17 On Differential Subordinations of Multivalent Functions Involving a Certain Fractional Derivative Operator [DOI]
- 18 Convolution properties of a class of bounded analytic functions [DOI]
- 19 A subclass of uniformly convex functions associated with certain fractional calculus operators
- 20 On subordination for certain subclass of analytic functions [DOI]
- 21 On the Starlikeness for Certain Subclass of Analytic Functions and a Problem of Ruscheweyh
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