A new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$
Abstract
The aim of this short note is to provide a new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$.
Downloads
References
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
This work is licensed under a Creative Commons Attribution 4.0 International 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).
