Some analytical merits of Kummer-Type function associated with Mittag-Leffler parameters
Joint Authors
Ghanim, Firas
al-Janabi, Hibah Fawzi
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 28, Issue 1 (31 Dec. 2021), pp.255-263, 9 p.
Publisher
University of Bahrain College of Science
Publication Date
2021-12-31
Country of Publication
Bahrain
No. of Pages
9
Main Subjects
Abstract EN
As of late, the study of Fractional Calculus (FC) and Special Functions (SFs) has been interestingly prompted in various realms of mathematics, engineering and sciences.
This is due to the considerable demonstrated potential of their applications.
Among these SFs, Gamma function and Mittag-Leffler functions are the most renowned and distinguished.
Numerous authors continue to study this line.
The current analysis attempts to introduce and further examine new modifications of Gamma and Kummer function in terms of Mittag-Leffler functions, respectively.
Several attributes and formulations of this new Kummer-type function that include integral representations, Beta transform, Laplace transform, derivative formulas, and recurrence relation are investigated.
Furthermore, outcomes of Riemann-Liouville fractional integral and fractional derivative in relation to this newly established Kummer function are also investigated.
American Psychological Association (APA)
Ghanim, Firas& al-Janabi, Hibah Fawzi. 2021. Some analytical merits of Kummer-Type function associated with Mittag-Leffler parameters. Arab Journal of Basic and Applied Sciences،Vol. 28, no. 1, pp.255-263.
https://search.emarefa.net/detail/BIM-1340629
Modern Language Association (MLA)
Ghanim, Firas& al-Janabi, Hibah Fawzi. Some analytical merits of Kummer-Type function associated with Mittag-Leffler parameters. Arab Journal of Basic and Applied Sciences Vol. 28, no. 1 (2021), pp.255-263.
https://search.emarefa.net/detail/BIM-1340629
American Medical Association (AMA)
Ghanim, Firas& al-Janabi, Hibah Fawzi. Some analytical merits of Kummer-Type function associated with Mittag-Leffler parameters. Arab Journal of Basic and Applied Sciences. 2021. Vol. 28, no. 1, pp.255-263.
https://search.emarefa.net/detail/BIM-1340629
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 262-263
Record ID
BIM-1340629