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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=2, b1>=-23/4 > For fixed z and a1=2, b1=-9/4





http://functions.wolfram.com/07.22.03.6654.01









  


  










Input Form





HypergeometricPFQ[{2}, {-(9/4), 21/4}, z] == -((1/(16384 z^(17/4))) ((221 (-56 E^(2 Sqrt[z]) z^(1/4) (250965 + 73656 z + 9248 z^2 + 256 z^3) + E^(4 Sqrt[z]) Sqrt[2 Pi] (1756755 - 3513510 Sqrt[z] + 3326400 z - 1968120 z^(3/2) + 806400 z^2 - 237888 z^(5/2) + 50176 z^3 - 7040 z^(7/2) + 512 z^4) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (1756755 + 3513510 Sqrt[z] + 3326400 z + 1968120 z^(3/2) + 806400 z^2 + 237888 z^(5/2) + 50176 z^3 + 7040 z^(7/2) + 512 z^4) 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