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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=-15/4





http://functions.wolfram.com/07.22.03.7464.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(15/4), 7/4}, z] == (1/(7096320 z^(3/4))) ((16 E^(2 Sqrt[z]) z^(3/4) (259245 + 305580 z - 91440 z^2 + 12544 z^3) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-552825 + 1105650 Sqrt[z] + 982800 z - 3439800 z^(3/2) + 2555280 z^2 - 131040 z^(5/2) - 698880 z^3 + 199680 z^(7/2) + 102400 z^4 + 8192 z^(9/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (552825 + 1105650 Sqrt[z] - 982800 z - 3439800 z^(3/2) - 2555280 z^2 - 131040 z^(5/2) + 698880 z^3 + 199680 z^(7/2) - 102400 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