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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.22.06.0013.01









  


  








Input Form





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








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