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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-21/4





http://functions.wolfram.com/07.22.03.6829.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(21/4), 17/4}, -z] == (1/(182784 z^(13/4))) (2 z^(1/4) (-1550674125 + 599999400 z - 105945840 z^2 + 8577408 z^3 - 300288 z^4 + 2048 z^5) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (33 (-46990125 + 93366000 z - 30073680 z^2 + 3709440 z^3 - 211200 z^4 + 4096 z^5) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-1550674125 + 1013512500 z - 192432240 z^2 + 16156800 z^3 - 582912 z^4 + 4096 z^5) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-1550674125 + 1013512500 z - 192432240 z^2 + 16156800 z^3 - 582912 z^4 + 4096 z^5) Cos[2 Sqrt[z]] - 33 (-46990125 + 93366000 z - 30073680 z^2 + 3709440 z^3 - 211200 z^4 + 4096 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