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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=-3/4





http://functions.wolfram.com/07.22.03.7274.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(3/4), 15/4}, z] == -((1/(196608 z^(11/4))) ((77 (240 E^(2 Sqrt[z]) z^(3/4) (49 + 24 z) + E^(4 Sqrt[z]) Sqrt[2 Pi] (2205 - 4410 Sqrt[z] + 4860 z - 3840 z^(3/2) + 2640 z^2 - 1728 z^(5/2) + 256 z^3 + 1024 z^(7/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (-2205 - 4410 Sqrt[z] - 4860 z - 3840 z^(3/2) - 2640 z^2 - 1728 z^(5/2) - 256 z^3 + 1024 z^(7/2)) 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