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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`=9/2





http://functions.wolfram.com/07.22.03.abu4.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {9/2, -(21/4)}, -z] == (1/(1654848 Sqrt[2] z^(11/4))) ((-4 z (-1642912425 + 225313704 z - 9160704 z^2 + 26624 z^3) BesselJ[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-4928737275 + 1614748212 z - 106222464 z^2 + 1291264 z^3) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (14786211825 - 7660665936 z + 1095073056 z^2 - 22821888 z^3 + 106496 z^4) 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