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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=-17/4





http://functions.wolfram.com/07.22.03.6579.01









  


  










Input Form





HypergeometricPFQ[{2}, {-(17/4), 13/4}, -z] == (1/(3536 z^(9/4))) (2 z^(1/4) (675675 - 249480 z + 37832 z^2 - 1536 z^3) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((675675 - 1330560 z + 403200 z^2 - 35840 z^3 + 512 z^4) Cos[2 Sqrt[z]] + 2 Sqrt[z] (675675 - 429660 z + 70560 z^2 - 3008 z^3) Sin[2 Sqrt[z]]) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-675675 + 429660 z - 70560 z^2 + 3008 z^3) Cos[2 Sqrt[z]] + (675675 - 1330560 z + 403200 z^2 - 35840 z^3 + 512 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