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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-1/4, b1`>=-11/2 > For fixed z and a1=-1/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.ab8k.01









  


  










Input Form





HypergeometricPFQ[{-(1/4)}, {-(1/2), 19/4}, z] == (1/(536870912 z^(15/4))) ((1155 (4 z^(1/4) (2297295 + 3063060 Sqrt[z] + 1664208 z + 351936 z^(3/2) - 8960 z^2 + 23552 z^(5/2) - 4096 z^3 + 16384 z^(7/2) + E^(4 Sqrt[z]) (-2297295 + 3063060 Sqrt[z] - 1664208 z + 351936 z^(3/2) + 8960 z^2 + 23552 z^(5/2) + 4096 z^3 + 16384 z^(7/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-2297295 + 786240 z - 207360 z^2 + 81920 z^3 + 65536 z^4) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-2297295 + 786240 z - 207360 z^2 + 81920 z^3 + 65536 z^4) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z]))










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)





2007-05-02