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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=-17/4





http://functions.wolfram.com/07.22.03.7154.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(17/4), 5/4}, z] == (1/(954720 z^(1/4))) ((-8 E^(2 Sqrt[z]) z^(1/4) (98955 - 65376 z - 17520 z^2 + 3328 z^3) - E^(4 Sqrt[z]) Sqrt[2 Pi] (-218295 + 436590 Sqrt[z] - 194040 z - 194040 z^(3/2) + 245520 z^2 - 77088 z^(5/2) - 19584 z^3 + 13824 z^(7/2) + 2048 z^4) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (218295 + 436590 Sqrt[z] + 194040 z - 194040 z^(3/2) - 245520 z^2 - 77088 z^(5/2) + 19584 z^3 + 13824 z^(7/2) - 2048 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