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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.27.02.0002.01









  


  








Input Form





HypergeometricPFQ[{Subscript[a, 1], \[Ellipsis], Subscript[a, i], \[Ellipsis], Subscript[a, 3]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, j], \[Ellipsis], Subscript[b, 2]}, z] == Sum[(Pochhammer[Subscript[a, 1], k] Pochhammer[Subscript[a, 2], k] Pochhammer[Subscript[a, 3], k] z^k)/(Pochhammer[Subscript[b, 1], k] Pochhammer[Subscript[b, 2], k] k!), {k, 0, n}] /; Subscript[a, i] == -n && Subscript[b, j] == -m && Element[m, Integers] && m >= 0 && Element[n, Integers] && n >= 0 && m >= n








Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2001-10-29