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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`=-5/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(5/2), 13/4}, z] == -((1/(524288 z^(9/4))) ((3 (4 z^(1/4) (329175 + 438900 Sqrt[z] + 240240 z + 52800 z^(3/2) + 8192 z^2 + E^(4 Sqrt[z]) (329175 - 438900 Sqrt[z] + 240240 z - 52800 z^(3/2) + 8192 z^2)) - 231 E^(2 Sqrt[z]) Sqrt[2 Pi] (1425 - 480 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] - 231 E^(2 Sqrt[z]) Sqrt[2 Pi] (1425 - 480 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