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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-19/4





http://functions.wolfram.com/07.22.03.6849.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(19/4), 15/4}, -z] == (1/(72960 z^(11/4))) (-4 z^(3/4) (14189175 - 4324320 z + 609600 z^2 - 39936 z^3 + 512 z^4) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-42567525 + 85945860 z - 30103920 z^2 + 4475520 z^3 - 306432 z^4 + 4096 z^5) Cos[2 Sqrt[z]] - 6 Sqrt[z] (14189175 - 9729720 z + 2106720 z^2 - 220416 z^3 + 8192 z^4) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (6 Sqrt[z] (14189175 - 9729720 z + 2106720 z^2 - 220416 z^3 + 8192 z^4) Cos[2 Sqrt[z]] + (-42567525 + 85945860 z - 30103920 z^2 + 4475520 z^3 - 306432 z^4 + 4096 z^5) 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