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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~q





http://functions.wolfram.com/07.32.03.0020.01









  


  








Input Form





HypergeometricPFQRegularized[{Subscript[a, 1], Subscript[a, 2], \[Ellipsis], Subscript[a, q + 1]}, {1 + Subscript[a, 1], 1 + Subscript[a, 2], \[Ellipsis], 1 + Subscript[a, q - n], 2 + Subscript[a, q - n + 1], 2 + Subscript[a, q - n + 2], \[Ellipsis], 2 + Subscript[a, q]}, z] == ((-1)^q/z) ((1/z) Sum[(Pochhammer[q, k]/k!) PolyLog[n - k, z], {k, 0, n - 1}] + Sum[(((-1)^(q - k) Pochhammer[n, k])/k!) PolyLog[q - k, z], {k, 0, q - 1}] - Binomial[n + q - 1, q]) /; Subscript[a, 1] == Subscript[a, 2] == \[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