Kampé de Fériet function
Special function in mathematics
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
The general sextic equation can be solved in terms of Kampé de Fériet functions.[1]
See also
- Appell series
- Humbert series
- Lauricella series (three-variable)
References
- ^ Mathworld - Sextic Equation
- 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
- Weisstein, Eric W. "Kampé de Fériet function". MathWorld.
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