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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.a8dg.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {-(11/2), 3/4}, z] == (1/11354112) ((4 (1419264 + 123543 Sqrt[z] + 336756 z - 8352 z^(3/2) + 32640 z^2 - 256 z^(5/2) + 1024 z^3 + E^(4 Sqrt[z]) (1419264 - 123543 Sqrt[z] + 336756 z + 8352 z^(3/2) + 32640 z^2 + 256 z^(5/2) + 1024 z^3)) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(1/4) (2714985 + 1241136 z + 129792 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] z^(1/4) (2714985 + 1241136 z + 129792 z^2 + 4096 z^3) 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