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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`=-3/2





http://functions.wolfram.com/07.22.03.abm7.01









  


  








Input Form





HypergeometricPFQ[{1/4}, {-(3/2), -(19/4)}, -z] == (1 - (116 z)/57 + (128 z^2)/171 - (1024 z^3)/9405) Cos[2 Sqrt[z]] + (2 Sqrt[z] (197505 - 138600 z + 32256 z^2 - 2048 z^3) Sin[2 Sqrt[z]])/197505








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