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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] > General characteristics > Poles and essential singularities > With respect to bj





http://functions.wolfram.com/07.26.04.0010.01









  


  










Input Form





Residue[HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z], {Subscript[b, 2], -k}] == ((-1)^k/k!) HypergeometricPFQRegularized[ {Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], -k, Subscript[b, 3]}, z] /; Element[k, Integers] && k >= 0










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