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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/07.32.03.0055.01









  


  










Input Form





HypergeometricPFQRegularized[{1, Subscript[a, 2], \[Ellipsis], Subscript[a, q + 1]}, {Subscript[a, 2] + 2, \[Ellipsis], Subscript[a, q + 1] + 2}, 1] == (1/(Pi^(q/2) (-1 + q)!)) Sum[(((-1)^(q - k - 1) (2 q - 2 k - 1)! (2^(2 k) - 1) (2 Pi)^(2 k))/ ((q - 2 k)! (2 k)!)) BernoulliB[2 k], {k, 0, Floor[q/2]}] + ((-1)^(q - 1) 2^(2 q - 1))/Pi^(q/2) /; Subscript[a, 2] == Subscript[a, 3] == \[Ellipsis] == Subscript[a, q + 1] == 1/2 && q > 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





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