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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case q+1Fqat z==1





http://functions.wolfram.com/07.31.03.0053.01









  


  










Input Form





HypergeometricPFQ[{1, Subscript[a, 2], \[Ellipsis], Subscript[a, q + 1]}, {Subscript[a, 2] + 2, \[Ellipsis], Subscript[a, q + 1] + 2}, 1] == (((-1)^q 2^q)/(q - 1)!) Sum[(((2 q - 2 k - 1)! (2 Pi)^(2 k))/ ((q - 2 k)! (2 k)!)) Abs[BernoulliB[2 k]], {k, 1, Floor[q/2]}] + (-1)^(q - 1) 2^q Binomial[2 q - 1, q - 1] /; Subscript[a, 2] == Subscript[a, 3] == \[Ellipsis] == Subscript[a, q + 1] == 1










Standard Form





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MathML Form







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





2001-10-29