Evaluation of a summation formula based on half argument and allied with Recurrence relation
Contiguous relation, Gauss second summation theorem, Re-currence relation
Abstract
The aim of this paper is to evaluate a summation formula based on half argument allied with Hypergeometric function and involving recurrence relation.
Downloads
- Article PDF
- TEI XML Kaleidoscope (download in zip)* (Beta by AI)
- Lens* NISO JATS XML (Beta by AI)
- HTML Kaleidoscope* (Beta by AI)
- DBK XML Kaleidoscope (download in zip)* (Beta by AI)
- LaTeX pdf Kaleidoscope* (Beta by AI)
- EPUB Kaleidoscope* (Beta by AI)
- MD Kaleidoscope* (Beta by AI)
- FO Kaleidoscope* (Beta by AI)
- BIB Kaleidoscope* (Beta by AI)
- LaTeX Kaleidoscope* (Beta by AI)
How to Cite
References
Milton Abramowitz, Irene Stegun (1970) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.
L Andrews (1992) Special Function of mathematics for Engineers, Second Edition.
Asish Arora, Singh, Salahuddin Rahul (2008) Development of a family of summation formulae of half argument using Gauss and Bailey theorems. 7, 335-342.
Richard Beals, Roderick Wong (2010) Special Functions.
J Lavoie (1987) Some summation formulae for the series 3F2. 49, 269-274.
J Lavoie, F Grondin, A Rathie (1992) Generalizations of Watson's theorem on the sum of a 3 F 2. 34, 23-32.
J Lavoie, F Grondin, A Rathie (1996) Generalizations of Whipple's theorem on the sum of a 3F2. 72(2), 293-300.
A Prudnikov, Yu. Brychkov, O Marichev (1986) Special Functions. 3, 127-570.
Earl Rainville (1945) The contiguous function relations for _{}_{} with application to Batemean's _{}^{,} and Rice's _{}(,,). 51(10), 714-723.
Salahuddin, M Chaudhary (2010) Development of some summation formulae using Hypergeometric function. 10, 36-48.
Salahuddin, M Chaudhary (2010) certain summation formulae associated to Gauss second summation theorem. 10, 30-35.
Published
2012-07-02
Issue
Section
License
Copyright (c) 2012 Authors and Global Journals Private Limited

This work is licensed under a Creative Commons Attribution 4.0 International License.