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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] > Primary definition





http://functions.wolfram.com/07.29.02.0001.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3], Subscript[a, 4], Subscript[a, 5]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3], Subscript[b, 4]}, z] == Sum[(Pochhammer[Subscript[a, 1], k] Pochhammer[Subscript[a, 2], k] Pochhammer[Subscript[a, 3], k] Pochhammer[Subscript[a, 4], k] Pochhammer[Subscript[a, 5], k] z^k)/(Pochhammer[Subscript[b, 1], k] Pochhammer[Subscript[b, 2], k] Pochhammer[Subscript[b, 3], k] Pochhammer[Subscript[b, 4], k] k!), {k, 0, Infinity}] /; Abs[z] < 1 || (Abs[z] == 1 && Re[Sum[Subscript[b, j], {j, 1, 4}] - Sum[Subscript[a, j], {j, 1, 5}]] > 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





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