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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/07.31.03.0054.01









  


  










Input Form





HypergeometricPFQ[{1, Subscript[a, 2], \[Ellipsis], Subscript[a, q + 1]}, {Subscript[a, 2] + 1, \[Ellipsis], Subscript[a, n + 1] + 1, Subscript[a, n + 2] + 2, \[Ellipsis], Subscript[a, q + 1] + 2}, 1] == (-1)^q 2^(q - n) (Sum[Binomial[q + k - 1, k] Zeta[q - n - k], {k, 0, q - n - 2}] + Sum[(-1)^(q - k) Binomial[q - n + k - 1, k] Zeta[q - k], {k, 0, q - 2}] - Binomial[2 q - n - 1, q - n - 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