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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-7/4





http://functions.wolfram.com/07.22.03.6960.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(7/4), 23/4}, z] == (1/(524288 z^(19/4))) ((3135 (-16 E^(2 Sqrt[z]) z^(3/4) (7432425 + 1589940 z + 131040 z^2 + 3392 z^3) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-22297275 + 44594550 Sqrt[z] - 42993720 z + 26528040 z^(3/2) - 11702880 z^2 + 3890880 z^(5/2) - 994560 z^3 + 193152 z^(7/2) - 26624 z^4 + 2048 z^(9/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (22297275 + 44594550 Sqrt[z] + 42993720 z + 26528040 z^(3/2) + 11702880 z^2 + 3890880 z^(5/2) + 994560 z^3 + 193152 z^(7/2) + 26624 z^4 + 2048 z^(9/2)) 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