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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > General characteristics > Poles and essential singularities > With respect to bj





http://functions.wolfram.com/07.28.04.0010.01









  


  








Input Form





Residue[HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z], {Subscript[b, j], -k}] == ((-1)^k/k!) HypergeometricPFQRegularized[ {Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, j - 1], -k, Subscript[b, j + 1], \[Ellipsis], Subscript[b, 3]}, z] /; Element[k, Integers] && k >= 0 && 1 <= j <= 3








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