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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=11/4, b1`>=-11/2 > For fixed z and a1=11/4, b1`=-1/2





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









  


  










Input Form





HypergeometricPFQ[{11/4}, {-(1/2), 23/4}, z] == -((1/(134217728 z^(19/4))) ((3135 (4 z^(1/4) (723647925 + 964863900 Sqrt[z] + 698377680 z + 343062720 z^(3/2) + 120766464 z^2 + 30670848 z^(5/2) + 5373952 z^3 + 524288 z^(7/2) + E^(4 Sqrt[z]) (-723647925 + 964863900 Sqrt[z] - 698377680 z + 343062720 z^(3/2) - 120766464 z^2 + 30670848 z^(5/2) - 5373952 z^3 + 524288 z^(7/2))) - 12285 E^(2 Sqrt[z]) Sqrt[2 Pi] (58905 - 5984 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] + 12285 E^(2 Sqrt[z]) Sqrt[2 Pi] (58905 - 5984 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