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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case 0F3





http://functions.wolfram.com/07.31.03.0164.01









  


  








Input Form





HypergeometricPFQ[{}, {1/2, 1/2, 1/2}, -z] == (-(z/4)^(1/4)) (2 BesselJ[1, 2^(3/2) z^(1/4)] BesselK[0, 2^(3/2) z^(1/4)] - 2 BesselJ[0, 2^(3/2) z^(1/4)] BesselK[1, 2^(3/2) z^(1/4)] + Pi BesselY[1, 2^(3/2) z^(1/4)] BesselI[0, 2^(3/2) z^(1/4)] + Pi BesselY[0, 2^(3/2) z^(1/4)] BesselI[1, 2^(3/2) z^(1/4)])








Standard Form





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MathML Form







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Rule Form





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Contributed by





Brychkov Yu.A. (2006)


Date Added to functions.wolfram.com (modification date)





2007-05-02