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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=-23/4





http://functions.wolfram.com/07.22.03.6516.01









  


  










Input Form





HypergeometricPFQ[{2}, {-(23/4), 19/4}, z] == (1/(223744 z^(15/4))) ((-16 E^(2 Sqrt[z]) z^(3/4) (2400673275 + 525096000 z + 45405360 z^2 + 1453664 z^3 + 13056 z^4) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-7202019825 + 14404039650 Sqrt[z] - 13921607700 z + 8637829200 z^(3/2) - 3848644800 z^2 + 1301620320 z^(5/2) - 343062720 z^3 + 70836480 z^(7/2) - 11278080 z^4 + 1323520 z^(9/2) - 103424 z^5 + 4096 z^(11/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (7202019825 + 14404039650 Sqrt[z] + 13921607700 z + 8637829200 z^(3/2) + 3848644800 z^2 + 1301620320 z^(5/2) + 343062720 z^3 + 70836480 z^(7/2) + 11278080 z^4 + 1323520 z^(9/2) + 103424 z^5 + 4096 z^(11/2)) 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