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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=-13/4





http://functions.wolfram.com/07.22.03.7487.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(13/4), 13/4}, -z] == (1/(638976 z^(9/4))) (6 z^(1/4) (-363825 + 291060 z - 221216 z^2 + 14400 z^3 + 7168 z^4) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((-1091475 + 2619540 z - 2328480 z^2 + 1404480 z^3 + 202752 z^4 + 16384 z^5) Cos[2 Sqrt[z]] + 22 Sqrt[z] (-99225 + 105840 z - 105840 z^2 + 10752 z^3 + 4096 z^4) Sin[2 Sqrt[z]]) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (-22 Sqrt[z] (-99225 + 105840 z - 105840 z^2 + 10752 z^3 + 4096 z^4) Cos[2 Sqrt[z]] + (-1091475 + 2619540 z - 2328480 z^2 + 1404480 z^3 + 202752 z^4 + 16384 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