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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 z





http://functions.wolfram.com/07.28.04.0007.01









  


  










Input Form





Singularities[HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z], z] == {{ComplexInfinity, -\[Alpha]}} /; ( !NonTerminatingHypergeometricSeriesQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}] && \[Alpha] = Min[-Subscript[a, Subscript[s, 1]], \[Ellipsis], -Subscript[a, Subscript[s, r]]] && Element[-Subscript[a, Subscript[s, k]], Integers] && -Subscript[a, Subscript[s, 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