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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=-3/4





http://functions.wolfram.com/07.22.03.7567.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(3/4), 19/4}, -z] == (1/(2097152 z^(15/4))) (385 (-4 z^(3/4) (-72765 + 28140 z - 6096 z^2 + 256 z^3) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-218295 + 167580 z - 47856 z^2 + 10752 z^3 + 4096 z^4) Cos[2 Sqrt[z]] + (218295 - 458640 z + 193680 z^2 - 44544 z^3 + 4096 z^4) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-218295 + 458640 z - 193680 z^2 + 44544 z^3 - 4096 z^4) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-218295 + 167580 z - 47856 z^2 + 10752 z^3 + 4096 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