A new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$
DOI :
https://doi.org/10.5269/bspm.42171Résumé
The aim of this short note is to provide a new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$.
Références
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).
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Publié
2020-10-11
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Research Articles
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