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On certain classes of analytic functions
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This article is published in Portugaliae Mathematica.The article was published on 1981-01-01 and is currently open access. It has received 15 citations till now. The article focuses on the topics: Proper convex function & Convex analysis.read more
Citations
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Inclusion Properties of Certain Subclasses of Analytic Functions
TL;DR: In this article, the authors introduce new subclasses of analytic functions and investigate inclusion properties of these classes, using the principle of subordination, and also include properties involving the generalized integral operator.
Journal ArticleDOI
A generalization on subfamily of p-valent functions with negative coefficients
Halit Orhan,Hukmi Kiziltunc +1 more
TL;DR: It is shown that the class P"p^*(@a,@b,@x,@W) is closed under convex linear combinations.
Journal ArticleDOI
On analytic functions related with generalized Robertson functions
TL;DR: The class V"k^@a(@r) is used to define a new class of analytic functions which unifies a number of classes previously studied such as the class of close-to-convex functions of higher order.
Differential Subordinations Associated with Multiplier Transformations
TL;DR: In this article, the authors derive some properties of analytic functions in the open unit disc which are defined by using multiplier transformations, applying differential subordinations techniques, and derive the relation between these properties and the analytic functions.
Journal ArticleDOI
A note on boundedness properties of wright's generalized hypergeometric functions
R.K. Raina,T.S. Nahar +1 more
TL;DR: In this paper, the Wright's generalized hypergeometric function was shown to have boundedness properties for the classes P(A,B) and R(B,B), and the results were also applicable to special functions like, the BesselMaitland functions and Mittag-Leffler functions.
References
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Inclusion Properties of Certain Subclasses of Analytic Functions
TL;DR: In this article, the authors introduce new subclasses of analytic functions and investigate inclusion properties of these classes, using the principle of subordination, and also include properties involving the generalized integral operator.
Journal ArticleDOI
A generalization on subfamily of p-valent functions with negative coefficients
Halit Orhan,Hukmi Kiziltunc +1 more
TL;DR: It is shown that the class P"p^*(@a,@b,@x,@W) is closed under convex linear combinations.
Journal ArticleDOI
On analytic functions related with generalized Robertson functions
TL;DR: The class V"k^@a(@r) is used to define a new class of analytic functions which unifies a number of classes previously studied such as the class of close-to-convex functions of higher order.
Differential Subordinations Associated with Multiplier Transformations
TL;DR: In this article, the authors derive some properties of analytic functions in the open unit disc which are defined by using multiplier transformations, applying differential subordinations techniques, and derive the relation between these properties and the analytic functions.
Journal ArticleDOI
A note on boundedness properties of wright's generalized hypergeometric functions
R.K. Raina,T.S. Nahar +1 more
TL;DR: In this paper, the Wright's generalized hypergeometric function was shown to have boundedness properties for the classes P(A,B) and R(B,B), and the results were also applicable to special functions like, the BesselMaitland functions and Mittag-Leffler functions.