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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=-1/4, b1`>=-11/2 > For fixed z and a1=-1/4, b1`=7/2





http://functions.wolfram.com/07.22.03.abe1.01









  


  








Input Form





HypergeometricPFQ[{-(1/4)}, {7/2, 23/4}, -z] == (1/(536870912 z^(19/4))) (285 (Sqrt[Pi] (4002075 + 4268880 z + 12418560 z^2 - 9461760 z^3 + 3604480 z^4 + 1048576 z^5) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (1334025 + 813120 z - 606720 z^2 + 212992 z^3 + 65536 z^4) Cos[2 Sqrt[z]] + (-4002075 - 560640 z^2 + 163840 z^3 + 65536 z^4) 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