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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=4, b1>=-23/4 > For fixed z and a1=4, b1=-15/4





http://functions.wolfram.com/07.22.03.7172.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(15/4), 3/4}, z] == (1/166320) ((48 E^(2 Sqrt[z]) (3465 + 1897 z - 2120 z^2 + 384 z^3) + E^(4 Sqrt[z]) Sqrt[2 Pi] z^(1/4) (61425 - 122850 Sqrt[z] + 63180 z + 37440 z^(3/2) - 50544 z^2 + 7488 z^(5/2) + 9472 z^3 + 1024 z^(7/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] z^(1/4) (-61425 - 122850 Sqrt[z] - 63180 z + 37440 z^(3/2) + 50544 z^2 + 7488 z^(5/2) - 9472 z^3 + 1024 z^(7/2)) 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