Generalization of a Quadratic Transformation Formula due to Gauss
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The aim of this research paper is to obtain explicit expressions of (1-x)-2a 2F1[a,b;-4x/(1-x)^2 2b+j] for j=0, ±1, ±2.
For j=0, we have the well-known transformation formula due to Gauss.
The results are derived with the help of generalized Watson's theorem.
Some known results obtained earlier follow special cases of our main findings.
American Psychological Association (APA)
Rakha, Medhat A.. 2012. Generalization of a Quadratic Transformation Formula due to Gauss. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-992937
Modern Language Association (MLA)
Rakha, Medhat A.. Generalization of a Quadratic Transformation Formula due to Gauss. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-992937
American Medical Association (AMA)
Rakha, Medhat A.. Generalization of a Quadratic Transformation Formula due to Gauss. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-992937
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-992937
