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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Series representations > Residue representations





http://functions.wolfram.com/07.32.06.0043.01









  


  








Input Form





HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] == (1/Product[Gamma[Subscript[a, k]], {k, 1, p}]) Sum[Residue[(Gamma[s] Product[Gamma[Subscript[a, k] - s], {k, 1, p}])/ Product[Gamma[Subscript[b, k] - s], {k, 1, q}]/(-z)^s, {s, -j}], {j, 0, Infinity}] /; p < q + 1 || (p == q + 1 && Abs[z] < 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