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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/07.31.25.0007.01









  


  








Input Form





Limit[HypergeometricPFQ[{1 - m, 1 + Subscript[a, 2], 1 + Subscript[a, 3], \[Ellipsis], 1 + Subscript[a, q + 1]}, {Subscript[a, 2], Subscript[a, 3], \[Ellipsis], Subscript[a, q + 1]}, z], z -> 1] == (-1)^(m - 1) Gamma[m] StirlingS2[q + 1, m] /; Subscript[a, 2] == Subscript[a, 3] == \[Ellipsis] == Subscript[a, q + 1] == 1 && Element[m, Integers] && m > 0








Standard Form





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MathML Form







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





2001-10-29