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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=13/4, b1`>=-11/2 > For fixed z and a1=13/4, b1`=11/2





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









  


  










Input Form





HypergeometricPFQ[{13/4}, {11/2, -(21/4)}, -z] == (1/(2545920 Sqrt[2] z^(15/4))) ((4 z (-4036635828225 + 1005462404100 z - 93402771840 z^2 + 3976427520 z^3 - 71925760 z^4 + 262144 z^5) BesselJ[-(1/4), Sqrt[z]]^ 2 - 4 Sqrt[z] (-12109907484675 + 5323036257000 z - 734932336320 z^2 + 44583229440 z^3 - 1251655680 z^4 + 12058624 z^5) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (-36329722454025 + 22889055905100 z - 4887054239760 z^2 + 423087598080 z^3 - 17237237760 z^4 + 300023808 z^5 - 1048576 z^6) 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