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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`=-11/2





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









  


  










Input Form





HypergeometricPFQ[{19/4}, {-(11/2), -(19/4)}, -z] == (1/(2371289468625 z^(1/4))) (Sqrt[2] ((2371289468625 + 4311435397500 z + 792026650800 z^2 - 910482249600 z^3 + 261755746560 z^4 - 57167953920 z^5 - 162136719360 z^6 + 151825416192 z^7 - 2332033024 z^8) BesselJ[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (-2371289468625 - 1149716106000 z + 1343160403200 z^2 - 442411200000 z^3 + 93942858240 z^4 - 11921817600 z^5 + 109483130880 z^6 - 13539213312 z^7 + 33554432 z^8) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 4 z (2371289468625 - 2012003185500 z + 737278264800 z^2 - 175637246400 z^3 + 40718684160 z^4 - 21459271680 z^5 - 28217180160 z^6 + 557842432 z^7) 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