A new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$

  • Sungtae Jun Konkuk University
  • Insuk Kim Wonkwang University
  • Arjun K. Rathie Rajasthan Technical University

Resumen

The aim of this short note is to provide a new proof of classical Dixon's summation theorem for the series ${}_{3}F_{2}(1)$.

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Biografía del autor/a

Sungtae Jun, Konkuk University

General Education Institute

Arjun K. Rathie, Rajasthan Technical University

Vedant College of Engineering and Technology

Department of Mathematics

Citas

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).

Publicado
2020-10-11
Sección
Articles