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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=19/4, b1`>=-11/2 > For fixed z and a1=19/4, b1`=9/2





http://functions.wolfram.com/07.22.03.afu1.01









  


  










Input Form





HypergeometricPFQ[{19/4}, {9/2, -(23/4)}, -z] == (1/(399750120 Sqrt[2] z^(9/4))) ((4 z (110924889075 - 30446040240 z + 4631477760 z^2 - 322560000 z^3 - 27328512 z^4 + 1048576 z^5) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (184874815125 - 67509842400 z + 11236538880 z^2 - 1157775360 z^3 - 19333120 z^4 + 6291456 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (2773122226875 - 1259147389500 z + 246136363200 z^2 - 29557463040 z^3 + 980582400 z^4 + 169082880 z^5 - 4194304 z^6) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^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