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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.a9gp.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {-(1/2), 23/4}, -z] == -((1/(824633720832 z^(19/4))) (209 (Sqrt[Pi] (97692469875 + 34735100400 z + 8915961600 z^2 + 2612736000 z^3 + 1548288000 z^4 - 2972712960 z^5 + 3170893824 z^6 + 268435456 z^7) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (32564156625 - 3308104800 z + 84913920 z^2 + 170311680 z^3 - 216072192 z^4 + 195035136 z^5 + 16777216 z^6) Cos[2 Sqrt[z]] + (-97692469875 + 69470200800 z + 1669973760 z^2 + 449003520 z^3 - 309657600 z^4 + 182452224 z^5 + 16777216 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