![](/images/graphics-bg.png)
On an Extension of Kummer's Second Theorem
Joint Authors
Awad, Mohamed M.
Rathie, Arjun K.
Rakha, Medhat A.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-07
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The aim of this paper is to establish an extension of Kummer's second theorem in the form e-x/2F22[a,2+d;x2a+2,d;]=F10[-;x2/16a+3/2;]+((a/d-1/2)/(a+1))x F10[-;x2/16a+3/2;]+(cx2/2(2a+3))F10[-;x2/16a+5/2;], where c=1/a+11/2-a/d+a/d(d+1), d≠0,-1,-2,….
For d=2a, we recover Kummer's second theorem.
The result is derived with the help of Kummer's second theorem and its contiguous results available in the literature.
As an application, we obtain two general results for the terminating F23(2) series.
The results derived in this paper are simple, interesting, and easily established and may be useful in physics, engineering, and applied mathematics.
American Psychological Association (APA)
Rakha, Medhat A.& Awad, Mohamed M.& Rathie, Arjun K.. 2013. On an Extension of Kummer's Second Theorem. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-447908
Modern Language Association (MLA)
Rakha, Medhat A.…[et al.]. On an Extension of Kummer's Second Theorem. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-447908
American Medical Association (AMA)
Rakha, Medhat A.& Awad, Mohamed M.& Rathie, Arjun K.. On an Extension of Kummer's Second Theorem. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-447908
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447908