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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=2, b1>=-23/4 > For fixed z and a1=2, b1=-9/4





http://functions.wolfram.com/07.22.03.6649.01









  


  










Input Form





HypergeometricPFQ[{2}, {-(9/4), 9/4}, -z] == (1/(72 z^(5/4))) (2 z^(1/4) (105 - 96 z + 16 z^2) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (105 - 160 z + 32 z^2) Cos[2 Sqrt[z]] + (-105 + 300 z - 208 z^2) Sin[2 Sqrt[z]]) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((105 - 300 z + 208 z^2) Cos[2 Sqrt[z]] + 2 Sqrt[z] (105 - 160 z + 32 z^2) 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