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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Series representations > Residue representations





http://functions.wolfram.com/07.27.06.0031.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z] == (Product[Gamma[Subscript[b, k]], {k, 1, 2}]/Product[Gamma[Subscript[a, k]], {k, 1, 3}]) Sum[Residue[(Product[Gamma[Subscript[a, k] - s], {k, 1, 3}]/ ((-z)^s Product[Gamma[Subscript[b, k] - s], {k, 1, 2}])) Gamma[s], {s, -j}], {j, 0, Infinity}] /; 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





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