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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`=-9/2





http://functions.wolfram.com/07.22.03.9167.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(9/2), -(3/4)}, -z] == (1/272160) (Sqrt[Pi] z^(7/4) (-724185 + 287280 z - 43776 z^2 + 4096 z^3) FresnelC[(2 z^(1/4))/Sqrt[Pi]] + 2 ((136080 - 80640 z + 21465 z^2 - 2976 z^3 + 256 z^4) Cos[2 Sqrt[z]] + 4 Sqrt[z] (68040 + 50400 z - 18573 z^2 + 2784 z^3 - 256 z^4) 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