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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=6, b1>=-23/4 > For fixed z and a1=6, b1=1/4





http://functions.wolfram.com/07.22.03.7882.01









  


  










Input Form





HypergeometricPFQ[{6}, {1/4, 23/4}, z] == (1/(536870912 z^(19/4))) ((4389 (16 E^(2 Sqrt[z]) z^(3/4) (-1091475 - 392700 z - 72240 z^2 - 10752 z^3 + 4096 z^4) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-3274425 + 6548850 Sqrt[z] - 6791400 z + 4851000 z^(3/2) - 2696400 z^2 + 1253280 z^(5/2) - 516480 z^3 + 199680 z^(7/2) - 81920 z^4 + 40960 z^(9/2) + 32768 z^5) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (3274425 + 6548850 Sqrt[z] + 6791400 z + 4851000 z^(3/2) + 2696400 z^2 + 1253280 z^(5/2) + 516480 z^3 + 199680 z^(7/2) + 81920 z^4 + 40960 z^(9/2) - 32768 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