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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Primary definition





http://functions.wolfram.com/07.32.02.0001.01









  


  








Input Form





HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] == Sum[Product[Pochhammer[Subscript[a, j], k] z^k, {j, 1, p}]/ (k! Product[Gamma[Subscript[b, j] + k], {j, 1, q}]), {k, 0, Infinity}] /; q >= p || (q == p - 1 && Abs[z] < 1) || (q == p - 1 && Abs[z] == 1 && Re[Sum[Subscript[b, j], {j, 1, p - 1}] - Sum[Subscript[a, j], {j, 1, p}]] > 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