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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > General characteristics > Branch points > With respect to z





http://functions.wolfram.com/07.27.04.0016.01









  


  








Input Form





RamificationIndex[HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z], z, ComplexInfinity] == LCM[Subscript[s, 1], Subscript[s, 2], Subscript[s, 3]] /; Subscript[a, l] == Subscript[r, l]/Subscript[s, l] && Element[{Subscript[r, l], Subscript[s, l]}, Integers] && Subscript[s, l] > 1 && GCD[Subscript[r, l], Subscript[s, l]] == 1 && 1 <= l <= 3 && NonTerminatingHypergeometricSeriesQ[ {Subscript[a, 1], Subscript[a, 2], Subscript[a, 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