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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=5, b1>=-23/4 > For fixed z and a1=5, b1=-17/4





http://functions.wolfram.com/07.22.03.7444.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(17/4), 5/4}, z] == (1/(15275520 z^(1/4))) ((-8 E^(2 Sqrt[z]) z^(1/4) (1364985 - 1501560 z - 174960 z^2 + 73600 z^3 + 2048 z^4) - E^(4 Sqrt[z]) Sqrt[2 Pi] (-3274425 + 6548850 Sqrt[z] - 1940400 z - 4851000 z^(3/2) + 4870800 z^2 - 945120 z^(5/2) - 837120 z^3 + 322560 z^(7/2) + 118784 z^4 + 8192 z^(9/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (3274425 + 6548850 Sqrt[z] + 1940400 z - 4851000 z^(3/2) - 4870800 z^2 - 945120 z^(5/2) + 837120 z^3 + 322560 z^(7/2) - 118784 z^4 + 8192 z^(9/2)) 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