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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case q+1F~qat z==1





http://functions.wolfram.com/07.32.03.0036.01









  


  








Input Form





HypergeometricPFQRegularized[{-n, Subscript[a, 2], \[Ellipsis], Subscript[a, q + 1]}, {Subscript[a, 2] - 1, \[Ellipsis], Subscript[a, q + 1] - 1}, 1] == S[q, n]/Gamma[a - 1]^q /; Subscript[a, 2] == Subscript[a, 3] == \[Ellipsis] == Subscript[a, q + 1] == a && S[q, 0] == 1 && (S[q, n] == 0 /; n > q) && S[q, q] == q/(1 - a)^q && S[q, q - 1] == (q! ((3 - q)/2 - a))/(1 - a)^q && S[q, q - 2] == (q!/((1 - a)^q 24)) (12 (a + q - 3) (a - 1) + (q - 2) (3 q - 5)) && S[q, n] == ((a + n - 1)/(a - 1)) S[q - 1, n] - (n/(a - 1)) S[q - 1, n - 1] && Element[n, Integers] && n > 0








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29