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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=-19/4





http://functions.wolfram.com/07.22.03.7125.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(19/4), -(13/4)}, -z] == (1/115540425) (115540425 - 29937600 z + 8870400 z^2 - 5160960 z^3 + 20643840 z^4 + 17145856 z^5 - 131072 z^6 - 2048 Sqrt[Pi] z^(17/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-15225 - 17400 z + 128 z^2) Cos[2 Sqrt[z]] + 10 Sqrt[z] (-3045 + 272 z) Sin[2 Sqrt[z]]) + 2048 Sqrt[Pi] z^(17/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-10 Sqrt[z] (-3045 + 272 z) Cos[2 Sqrt[z]] + (-15225 - 17400 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