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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > Continued fraction representations





http://functions.wolfram.com/07.28.10.0002.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z] == 1 + (Subscript[a, 1] Subscript[a, 2] Subscript[a, 3] Subscript[a, 4] z)/(Subscript[b, 1] Subscript[b, 2] Subscript[b, 3])/ (1 + ContinueFraction[{-(((Subscript[a, 1] + k) (Subscript[a, 2] + k) (Subscript[a, 3] + k) (Subscript[a, 4] + k) z)/ ((k + 1) (Subscript[b, 1] + k) (Subscript[b, 2] + k) (Subscript[b, 3] + k))), 1 + ((Subscript[a, 1] + k) (Subscript[a, 2] + k) (Subscript[a, 3] + k) (Subscript[a, 4] + k) z)/((k + 1) (Subscript[b, 1] + k) (Subscript[b, 2] + k) (Subscript[b, 3] + k))}, {k, 1, Infinity}])










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