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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/07.22.03.7466.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(15/4), 11/4}, z] == (1/(8110080 z^(7/4))) ((16 E^(2 Sqrt[z]) z^(3/4) (-467775 + 4680 z + 328080 z^2 - 22656 z^3 + 2048 z^4) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-1403325 + 2806650 Sqrt[z] - 3912300 z + 4082400 z^(3/2) - 1058400 z^2 - 2328480 z^(5/2) + 2479680 z^3 - 783360 z^(7/2) - 153600 z^4 + 122880 z^(9/2) + 16384 z^5) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (1403325 + 2806650 Sqrt[z] + 3912300 z + 4082400 z^(3/2) + 1058400 z^2 - 2328480 z^(5/2) - 2479680 z^3 - 783360 z^(7/2) + 153600 z^4 + 122880 z^(9/2) - 16384 z^5) 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