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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=4, b1>=-23/4 > For fixed z and a1=4, b1=-13/4





http://functions.wolfram.com/07.22.03.7198.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(13/4), 17/4}, z] == (1/(98304 z^(13/4))) ((-24 E^(2 Sqrt[z]) z^(1/4) (2027025 + 914760 z + 204960 z^2 + 33536 z^3 + 4096 z^4) + E^(4 Sqrt[z]) Sqrt[2 Pi] (6081075 - 12162150 Sqrt[z] + 12474000 z - 8731800 z^(3/2) + 4717440 z^2 - 2116800 z^(5/2) + 860160 z^3 - 355200 z^(7/2) + 145920 z^4 - 47104 z^(9/2) + 8192 z^5) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (6081075 + 12162150 Sqrt[z] + 12474000 z + 8731800 z^(3/2) + 4717440 z^2 + 2116800 z^(5/2) + 860160 z^3 + 355200 z^(7/2) + 145920 z^4 + 47104 z^(9/2) + 8192 z^5) 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