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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=-19/4





http://functions.wolfram.com/07.22.03.7716.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(19/4), 11/4}, z] == (1/(1540915200 z^(7/4))) ((-16 E^(2 Sqrt[z]) z^(3/4) (79053975 - 4801500 z - 64769760 z^2 + 2835264 z^3 + 354304 z^4 + 16384 z^5) - E^(4 Sqrt[z]) Sqrt[2 Pi] (237161925 - 474323850 Sqrt[z] + 681080400 z - 729729000 z^(3/2) + 176904000 z^2 + 450515520 z^(5/2) - 484323840 z^3 + 172748160 z^(7/2) + 15475200 z^4 - 27955200 z^(9/2) + 3293184 z^5 + 1933312 z^(11/2) + 131072 z^6) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (237161925 + 474323850 Sqrt[z] + 681080400 z + 729729000 z^(3/2) + 176904000 z^2 - 450515520 z^(5/2) - 484323840 z^3 - 172748160 z^(7/2) + 15475200 z^4 + 27955200 z^(9/2) + 3293184 z^5 - 1933312 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