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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Operations > Limit operation





http://functions.wolfram.com/07.31.25.0006.01









  


  










Input Form





Limit[(1/(a^q Gamma[1 - a])) HypergeometricPFQ[{a, Subscript[a, 2], Subscript[a, 3], \[Ellipsis], Subscript[a, q + 1]}, {1 + Subscript[a, 2], 1 + Subscript[a, 3], \[Ellipsis], 1 + Subscript[a, q + 1]}, 1], a -> n] == (-1)^(n - 1) StirlingS1[n, q] /; Subscript[a, 2] == Subscript[a, 3] == \[Ellipsis] == Subscript[a, q + 1] == a && Element[q, Integers] && q >= 0 && Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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





2001-10-29





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