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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/07.22.03.7167.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(15/4), -(9/4)}, -z] == (1/467775) (467775 - 221760 z + 161280 z^2 - 737280 z^3 - 770560 z^4 + 8192 z^5 + 128 Sqrt[Pi] z^(13/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-8925 - 12600 z + 128 z^2) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-8925 + 1168 z) Sin[2 Sqrt[z]]) - 128 Sqrt[Pi] z^(13/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-2 Sqrt[z] (-8925 + 1168 z) Cos[2 Sqrt[z]] + (-8925 - 12600 z + 128 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