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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=4, b1>=-23/4 > For fixed z and a1=4, b1=-15/4





http://functions.wolfram.com/07.22.03.7179.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(15/4), 15/4}, -z] == (1/(92160 z^(11/4))) (4 z^(3/4) (-945945 + 374220 z - 69408 z^2 - 6464 z^3 + 1024 z^4) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((2837835 - 5987520 z + 2600640 z^2 - 548352 z^3 - 41472 z^4 + 8192 z^5) Cos[2 Sqrt[z]] - 2 Sqrt[z] (-2837835 + 2203740 z - 671328 z^2 + 52416 z^3 + 17408 z^4) Sin[2 Sqrt[z]]) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-2837835 + 2203740 z - 671328 z^2 + 52416 z^3 + 17408 z^4) Cos[2 Sqrt[z]] + (2837835 - 5987520 z + 2600640 z^2 - 548352 z^3 - 41472 z^4 + 8192 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