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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=-9/4





http://functions.wolfram.com/07.22.03.7814.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(9/4), 21/4}, z] == -((1/(503316480 z^(17/4))) ((221 (8 E^(2 Sqrt[z]) z^(1/4) (237161925 + 114511320 z + 27609120 z^2 + 4435200 z^3 + 952320 z^4 + 65536 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-237161925 + 474323850 Sqrt[z] - 493970400 z + 355509000 z^(3/2) - 199584000 z^2 + 93804480 z^(5/2) - 39029760 z^3 + 15143040 z^(7/2) - 6336000 z^4 + 3379200 z^(9/2) - 1622016 z^5 + 294912 z^(11/2) + 131072 z^6) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (-237161925 - 474323850 Sqrt[z] - 493970400 z - 355509000 z^(3/2) - 199584000 z^2 - 93804480 z^(5/2) - 39029760 z^3 - 15143040 z^(7/2) - 6336000 z^4 - 3379200 z^(9/2) - 1622016 z^5 - 294912 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