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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Series representations > Generalized power series > Expansions on branch cuts for p==q+1 > For the function itself





http://functions.wolfram.com/07.31.06.0048.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], \[Ellipsis], Subscript[a, q + 1]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] == (Product[Gamma[Subscript[b, k]], {k, 1, q}]/Product[Gamma[Subscript[a, k]], {k, 1, q + 1}]) Sum[(1/k!) MeijerG[{{1}, {Subscript[b, 1] + k, \[Ellipsis], Subscript[b, q] + k}}, {{Subscript[a, 1] + k, \[Ellipsis], Subscript[a, q + 1] + k}, {}}, 1/x/E^(Pi I (1 + 2 Floor[Arg[x - z]/(2 Pi)]))] (z - x)^k, {k, 0, Infinity}] /; x > 1










Standard Form





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MathML Form







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





2007-05-02





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