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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] > Series representations > Asymptotic series expansions > Expansions for |Arg(z)|





http://functions.wolfram.com/07.26.06.0005.01









  


  








Input Form





HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z] \[Proportional] ((Gamma[Subscript[b, 1]] Gamma[Subscript[b, 2]] Gamma[Subscript[b, 3]])/ (Gamma[Subscript[a, 1]] Gamma[Subscript[a, 2]])) (z^\[Chi]/(2 Sqrt[Pi])) Exp[2 Sqrt[z]] (1 + O[1/Sqrt[z]]) /; \[Chi] == (1/2) (Subscript[a, 1] + Subscript[a, 2] - Subscript[b, 1] - Subscript[b, 2] - Subscript[b, 3] + 1/2) && Abs[Arg[z]] < Pi && (Abs[z] -> 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