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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=11/2





http://functions.wolfram.com/07.22.03.abw9.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {11/2, 9/4}, z] == -((1/(226304 z^(9/2))) ((105 (4725 - 4725 E^(4 Sqrt[z]) + 9450 Sqrt[z] + 9450 E^(4 Sqrt[z]) Sqrt[z] + 6900 z - 6900 E^(4 Sqrt[z]) z + 1200 z^(3/2) + 1200 E^(4 Sqrt[z]) z^(3/2) - 624 z^2 + 624 E^(4 Sqrt[z]) z^2 + 512 z^(5/2) + 512 E^(4 Sqrt[z]) z^(5/2) - 1280 z^3 + 1280 E^(4 Sqrt[z]) z^3 + 256 z^(7/2) + 256 E^(4 Sqrt[z]) z^(7/2) - 1024 z^4 + 1024 E^(4 Sqrt[z]) z^4 - 64 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(13/4) (17 + 16 z) Erf[Sqrt[2] z^(1/4)] - 64 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(13/4) (17 + 16 z) 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