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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=5, b1>=-23/4 > For fixed z and a1=5, b1=-19/4





http://functions.wolfram.com/07.22.03.7419.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(19/4), -(5/4)}, -z] == (1/987525) (3 (329175 - 277200 z + 887040 z^2 - 543480 z^3 - 283040 z^4 + 16896 z^5) - 2 Sqrt[Pi] z^(9/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (-25 (69615 - 77112 z - 37632 z^2 + 2048 z^3) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-1740375 - 392700 z - 201600 z^2 + 1024 z^3) Sin[2 Sqrt[z]]) - 2 Sqrt[Pi] z^(9/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-1740375 - 392700 z - 201600 z^2 + 1024 z^3) Cos[2 Sqrt[z]] + 25 (69615 - 77112 z - 37632 z^2 + 2048 z^3) 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