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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.abhq.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(11/2), 13/4}, z] == (1/(968884224 z^(9/4))) ((4 z^(1/4) (-6336947925 - 8449263900 Sqrt[z] - 5451138000 z - 2118156480 z^(3/2) - 587710464 z^2 - 101449728 z^(5/2) - 10616832 z^3 - 524288 z^(7/2) + E^(4 Sqrt[z]) (-6336947925 + 8449263900 Sqrt[z] - 5451138000 z + 2118156480 z^(3/2) - 587710464 z^2 + 101449728 z^(5/2) - 10616832 z^3 + 524288 z^(7/2))) + 1514205 E^(2 Sqrt[z]) Sqrt[2 Pi] (4185 - 864 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] + 1514205 E^(2 Sqrt[z]) Sqrt[2 Pi] (4185 - 864 z + 256 z^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