Kampé de Fériet function
Appearance
(Redirected from Kampe de Feriet hypergeometric series)
In mathematics, the Kampé de Fériet function is a two-variable generalization of the generalized hypergeometric series, introduced by Joseph Kampé de Fériet.
The Kampé de Fériet function is given by
Applications
[edit]The general sextic equation can be solved in terms of Kampé de Fériet functions.[1]
See also
[edit]- Appell series
- Humbert series
- Lauricella series (three-variable)
References
[edit]- Exton, Harold (1978), Handbook of hypergeometric integrals, Mathematics and its Applications, Chichester: Ellis Horwood Ltd., ISBN 978-0-85312-122-0, MR 0474684
- Kampé de Fériet, M. J. (1937), La fonction hypergéométrique., Mémorial des sciences mathématiques (in French), vol. 85, Paris: Gauthier-Villars, JFM 63.0996.03
- Ragab, F. J. (1963). "Expansions of Kampe de Feriet's double hypergeometric function of higher order". J. reine angew. Math. 212 (212): 113–119. doi:10.1515/crll.1963.212.113. S2CID 118329382.
External links
[edit]