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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=1/2





http://functions.wolfram.com/07.22.03.8267.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {1/2, 9/4}, -z] == (Sqrt[Pi] (948702429675 + 35418224041200 z + 566691584659200 z^2 + 431765016883200 z^3 + 69780204748800 z^4 + 3435333156864 z^5 + 56723767296 z^6 + 268435456 z^7) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) ((-(-948702429675 + 20779168606560 z + 23581062731520 z^2 + 4172507136000 z^3 + 211446595584 z^4 + 3529506816 z^5 + 16777216 z^6)) Cos[2 Sqrt[z]] + 4 Sqrt[z] (316234143225 + 31701559468320 z + 26247162412800 z^2 + 4322416508928 z^3 + 214050471936 z^4 + 3542089728 z^5 + 16777216 z^6) Sin[2 Sqrt[z]]))/(110370886778880 z^(5/4))










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