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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=9/4, b1`>=-11/2 > For fixed z and a1=9/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.ad9o.01









  


  










Input Form





HypergeometricPFQ[{9/4}, {-(11/2), 13/4}, z] == (1/(151388160 z^(9/4))) ((4 z^(1/4) (-6336947925 - 8449263900 Sqrt[z] - 6759411120 z - 3862520640 z^(3/2) - 1697752320 z^2 - 586398720 z^(5/2) - 156610560 z^3 - 30752768 z^(7/2) - 3997696 z^4 - 262144 z^(9/2) + E^(4 Sqrt[z]) (-6336947925 + 8449263900 Sqrt[z] - 6759411120 z + 3862520640 z^(3/2) - 1697752320 z^2 + 586398720 z^(5/2) - 156610560 z^3 + 30752768 z^(7/2) - 3997696 z^4 + 262144 z^(9/2))) + 6336947925 E^(2 Sqrt[z]) Sqrt[2 Pi] Erf[Sqrt[2] z^(1/4)] + 6336947925 E^(2 Sqrt[z]) Sqrt[2 Pi] 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