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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=5, b1>=-23/4 > For fixed z and a1=5, b1=-21/4





http://functions.wolfram.com/07.22.03.7410.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(21/4), 21/4}, z] == (1/(66060288 z^(17/4))) ((-8 E^(2 Sqrt[z]) z^(1/4) (383016508875 + 162510648300 z + 32518886400 z^2 + 3519996480 z^3 + 270602496 z^4 + 20188160 z^5 + 770048 z^6) + E^(4 Sqrt[z]) Sqrt[2 Pi] (383016508875 - 766033017750 Sqrt[z] + 775337062500 z - 529296768000 z^(3/2) + 274378104000 z^2 - 115394479200 z^(5/2) + 41141580480 z^3 - 12859292160 z^(7/2) + 3649916160 z^4 - 993738240 z^(9/2) + 275235840 z^5 - 75644928 z^(11/2) + 17924096 z^6 - 3014656 z^(13/2) + 262144 z^7) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (383016508875 + 766033017750 Sqrt[z] + 775337062500 z + 529296768000 z^(3/2) + 274378104000 z^2 + 115394479200 z^(5/2) + 41141580480 z^3 + 12859292160 z^(7/2) + 3649916160 z^4 + 993738240 z^(9/2) + 275235840 z^5 + 75644928 z^(11/2) + 17924096 z^6 + 3014656 z^(13/2) + 262144 z^7) 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