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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-13/4





http://functions.wolfram.com/07.22.03.7778.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(13/4), 17/4}, z] == (1/(31457280 z^(13/4))) ((8 E^(2 Sqrt[z]) z^(1/4) (-127702575 - 75093480 z - 25613280 z^2 - 10556160 z^3 - 1044480 z^4 + 229376 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] (127702575 - 255405150 Sqrt[z] + 279417600 z - 218295000 z^(3/2) + 139708800 z^2 - 79168320 z^(5/2) + 49674240 z^3 - 36812160 z^(7/2) + 20697600 z^4 - 4730880 z^(9/2) - 1622016 z^5 + 950272 z^(11/2) + 131072 z^6) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (127702575 + 255405150 Sqrt[z] + 279417600 z + 218295000 z^(3/2) + 139708800 z^2 + 79168320 z^(5/2) + 49674240 z^3 + 36812160 z^(7/2) + 20697600 z^4 + 4730880 z^(9/2) - 1622016 z^5 - 950272 z^(11/2) + 131072 z^6) 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