A new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$
DOI:
https://doi.org/10.5269/bspm.42171Abstract
The aim of this short note is to provide a new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$.
References
1. Bailey, W. N., Products of generalized Hypergeometric Series, Proc. London Math. Soc., (2), 28, 242-254 (1928).
2. Bailey, W. N., Generalized Hypergeometric Series, Cambridge University Press, Cambridge, (1935).
3. Prudnikov, A. P., Brychkov, Yu. A. and Marichev, O. I., Integrals and Series, vol. 3 : More Special Functions, Gordon and Breach Science Publishers, (1986).
4. Rainville, E. D., Special Functions, The Macmillan Company, New York, (1960) ; Reprinted by Chelsea Publishing Company, Bronx, New York, (1971).
2. Bailey, W. N., Generalized Hypergeometric Series, Cambridge University Press, Cambridge, (1935).
3. Prudnikov, A. P., Brychkov, Yu. A. and Marichev, O. I., Integrals and Series, vol. 3 : More Special Functions, Gordon and Breach Science Publishers, (1986).
4. Rainville, E. D., Special Functions, The Macmillan Company, New York, (1960) ; Reprinted by Chelsea Publishing Company, Bronx, New York, (1971).
Downloads
Published
2020-10-11
Issue
Section
Research Articles
License
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
