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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 z





http://functions.wolfram.com/07.26.04.0006.01









  


  








Input Form





Singularities[HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z], z] == {{ComplexInfinity, -\[Alpha]}} /; (Element[-Subscript[a, 1], Integers] && -Subscript[a, 1] > 0 && \[Alpha] == Subscript[a, 1]) || (Element[-Subscript[a, 2], Integers] && -Subscript[a, 2] > 0 && \[Alpha] == Subscript[a, 2]) || (Element[-Subscript[a, 1], Integers] && -Subscript[a, 1] > 0 && Element[-Subscript[a, 1], Integers] && -Subscript[a, 2] > 0 && \[Alpha] == Min[-Subscript[a, 1], -Subscript[a, 2]])








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