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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=11/2





http://functions.wolfram.com/07.22.03.aakp.01









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {11/2, 23/4}, -z] == (1/(24696061952 z^(19/4))) (21 (Sqrt[Pi] (26233601625 - 55965016800 z + 29072736000 z^2 - 8054784000 z^3 + 2147942400 z^4 + 723517440 z^5 + 16777216 z^6) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (-3641770125 + 1884171600 z - 512709120 z^2 + 126197760 z^3 + 45023232 z^4 + 1048576 z^5) Cos[2 Sqrt[z]] + (-1460993625 + 1844024400 z - 496949760 z^2 + 95723520 z^3 + 44236800 z^4 + 1048576 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