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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-5/4





http://functions.wolfram.com/07.22.03.7833.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(5/4), -(3/4)}, -z] == (1/14400) (-2 (-7200 + 46080 z + 633645 z^2 - 74528 z^3 + 256 z^4) + Sqrt[Pi] z^(7/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-5 (389367 - 281568 z + 5888 z^2) Cos[2 Sqrt[z]] + 4 Sqrt[z] (708945 - 76320 z + 256 z^2) Sin[2 Sqrt[z]]) - Sqrt[Pi] z^(7/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (4 Sqrt[z] (708945 - 76320 z + 256 z^2) Cos[2 Sqrt[z]] + 5 (389367 - 281568 z + 5888 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