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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=5/2





http://functions.wolfram.com/07.22.03.9515.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {5/2, 9/4}, -z] == (1/(8212119552000 z^(3/2))) (Sqrt[Pi] z^(1/4) (-343732764375 + 6599669076000 z + 9777287520000 z^2 + 2292111360000 z^3 + 147087360000 z^4 + 2988441600 z^5 + 16777216 z^6) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 ((-Sqrt[z]) (149577449175 + 505101214800 z + 135293437440 z^2 + 9021726720 z^3 + 185794560 z^4 + 1048576 z^5) Cos[2 Sqrt[z]] + 4 (-24269414400 + 338451480675 z + 587548760400 z^2 + 141607226880 z^3 + 9158369280 z^4 + 186580992 z^5 + 1048576 z^6) Sin[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