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词条 Kampé de Fériet function
释义

  1. Applications

  2. References

  3. External links

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]

References

1. ^Mathworld - Sextic Equation
  • {{Citation | last1=Exton | first1=Harold | authorlink=Harold Exton | title=Handbook of hypergeometric integrals | url=https://books.google.com/books?id=fUHvAAAAMAAJ | publisher=Ellis Horwood Ltd. | location=Chichester | series=Mathematics and its Applications | isbn=978-0-85312-122-0 | mr=0474684 | year=1978}}
  • {{Citation | last1=Kampé de Fériet | first1=M. J. | title=La fonction hypergéométrique. | url=https://books.google.com/books?id=JObuAAAAMAAJ | publisher=Paris: Gauthier-Villars | language=French | series=Mémorial des sciences mathématiques | jfm=63.0996.03 | year=1937 | volume=85}}
  • {{ cite journal

|first1=F. J.
|last1=Ragab
|title = Expansions of Kampe de Feriet's double hypergeometric function of higher order
|year=1963
|issue=212
|pages=113–119
|doi=10.1515/crll.1963.212.113
|journal=J. reine angew. Math.
}}

External links

  • {{MathWorld |title=Kampé de Fériet function |id=KampedeFerietFunction}}
{{DEFAULTSORT:Kampe de Feriet function}}{{analysis-stub}}

1 : Hypergeometric functions

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