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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=-21/4





http://functions.wolfram.com/07.22.03.7108.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(21/4), -(3/4)}, z] == (1/1879605) ((E^(2 Sqrt[z]) (1879605 + 1909440 z + 6040800 z^2 + 132480 z^3 - 236032 z^4 - 8192 z^5) - 4 E^(4 Sqrt[z]) Sqrt[2 Pi] z^(7/4) (329175 - 658350 Sqrt[z] + 461700 z - 45600 z^(3/2) - 103056 z^2 + 32832 z^(5/2) + 14080 z^3 + 1024 z^(7/2)) Erf[Sqrt[2] z^(1/4)] + 4 Sqrt[2 Pi] z^(7/4) (-329175 - 658350 Sqrt[z] - 461700 z - 45600 z^(3/2) + 103056 z^2 + 32832 z^(5/2) - 14080 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