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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`=3/2





http://functions.wolfram.com/07.22.03.8315.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {3/2, 9/4}, -z] == (Sqrt[Pi] (-7905853580625 + 885455601030000 z + 2833457923296000 z^2 + 1199347269120000 z^3 + 134192701440000 z^4 + 5051960524800 z^5 + 67528294400 z^6 + 268435456 z^7) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) ((-(7905853580625 + 129358925488800 z + 68131481644800 z^2 + 8106056663040 z^3 + 311852728320 z^4 + 4204789760 z^5 + 16777216 z^6)) Cos[2 Sqrt[z]] + 4 Sqrt[z] (39043389802725 + 165795015304800 z + 73505947334400 z^2 + 8329529671680 z^3 + 314963066880 z^4 + 4217372672 z^5 + 16777216 z^6) Sin[2 Sqrt[z]]))/ (1379636084736000 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