A new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$
Résumé
The aim of this short note is to provide a new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$.
Téléchargements
Références
Bailey, W. N., Products of generalized Hypergeometric Series, Proc. London Math. Soc., (2), 28, 242-254 (1928).
Bailey, W. N., Generalized Hypergeometric Series, Cambridge University Press, Cambridge, (1935).
Prudnikov, A. P., Brychkov, Yu. A. and Marichev, O. I., Integrals and Series, vol. 3 : More Special Functions, Gordon and Breach Science Publishers, (1986).
Rainville, E. D., Special Functions, The Macmillan Company, New York, (1960) ; Reprinted by Chelsea Publishing Company, Bronx, New York, (1971).
Copyright (c) 2020 Boletim da Sociedade Paranaense de Matemática
Ce travail est disponible sous la licence Creative Commons Attribution 4.0 International .
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).
