Applications of Fractional q-Calculus to Certain Subclass of Analytic p-Valent Functions with Negative Coefficients
Joint Authors
Wongsaijai, Ben
Sukantamala, Nattakorn
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-23
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
By making use of the concept of fractional q-calculus, we firstly define q-extension of the generalization of the generalized Al-Oboudi differential operator.
Then, we introduce new class of q-analogue of p-valently closed-to-convex function, and, consequently, new class by means of this new general differential operator.
Our main purpose is to determine the general properties on such class and geometric properties for functions belonging to this class with negative coefficient.
Further, the q-extension of interesting properties, such as distortion inequalities, inclusion relations, extreme points, radii of generalized starlikeness, convexity and close-to-convexity, quasi-Hadamard properties, and invariant properties, is obtained.
Finally, we briefly indicate the relevant connections of our presented results to the former results.
American Psychological Association (APA)
Wongsaijai, Ben& Sukantamala, Nattakorn. 2015. Applications of Fractional q-Calculus to Certain Subclass of Analytic p-Valent Functions with Negative Coefficients. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052006
Modern Language Association (MLA)
Wongsaijai, Ben& Sukantamala, Nattakorn. Applications of Fractional q-Calculus to Certain Subclass of Analytic p-Valent Functions with Negative Coefficients. Abstract and Applied Analysis No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1052006
American Medical Association (AMA)
Wongsaijai, Ben& Sukantamala, Nattakorn. Applications of Fractional q-Calculus to Certain Subclass of Analytic p-Valent Functions with Negative Coefficients. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052006
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052006