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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/07.32.03.0066.01









  


  








Input Form





HypergeometricPFQRegularized[{1, Subscript[a, 2], \[Ellipsis], Subscript[a, q + 1]}, {Subscript[a, 2] + 2, \[Ellipsis], Subscript[a, q + 1] + 2}, -1] == (-1)^(q - 1) 2 (Sum[Binomial[2 q - 2 k - 2, q - 1] (1 - 2^(-2 k)) Zeta[2 k + 1], {k, 1, Floor[(q - 1)/2]}] - (1/2) Binomial[2 q - 1, q - 1] + Binomial[2 q - 2, q - 1] Log[2]) /; Subscript[a, 2] == Subscript[a, 3] == \[Ellipsis] == Subscript[a, q + 1] == 1








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