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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/07.22.03.7563.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(3/4), 11/4}, -z] == -((1/(98304 z^(7/4))) (7 (-4 z^(3/4) (675 + 2148 z + 2240 z^2) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (-9 (-225 + 840 z + 1280 z^2 + 2048 z^3) Cos[2 Sqrt[z]] + 2 Sqrt[z] (2025 - 4860 z - 17280 z^2 + 1024 z^3) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (2025 - 4860 z - 17280 z^2 + 1024 z^3) Cos[2 Sqrt[z]] + 9 (-225 + 840 z + 1280 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