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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`=-5/2





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









  


  








Input Form





HypergeometricPFQ[{1/4}, {-(5/2), -(21/4)}, -z] == (1/(3132675 Sqrt[2])) (z^(1/4) ((3132675 - 6325020 z + 3884400 z^2 - 735744 z^3 + 77824 z^4) BesselJ[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (3132675 - 3818880 z + 1052064 z^2 - 138240 z^3 + 8192 z^4) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 12 z (1044225 - 437580 z + 74880 z^2 - 7168 z^3) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)








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