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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=-11/4, b1`>=-11/2 > For fixed z and a1=-11/4, b1`=5/2





http://functions.wolfram.com/07.22.03.a94l.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {5/2, 19/4}, -z] == ((2 Sqrt[z] (-884458575 - 661620960 z - 8821612800 z^2 + 53338095616 z^3 + 20130496512 z^4 + 1277165568 z^5 + 16777216 z^6) BesselJ[-(1/4), Sqrt[z]]^2 - (-2653375725 + 2058376320 z - 20583763200 z^2 + 42706599936 z^3 + 19360448512 z^4 + 1266679808 z^5 + 16777216 z^6) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (2653375725 + 3602158560 z - 16330938624 z^2 + 48773480448 z^3 + 19817758720 z^4 + 1272971264 z^5 + 16777216 z^6) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(67782574080 Sqrt[2] z^(13/4))










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