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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=1/2





http://functions.wolfram.com/07.22.03.a7pv.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {1/2, 17/4}, -z] == ((2 Sqrt[z] (-71641144575 - 150518768400 z + 2960748806400 z^2 + 11234822860800 z^3 + 7329079296000 z^4 + 952976277504 z^5 + 32262586368 z^6 + 268435456 z^7) BesselJ[1/4, Sqrt[z]]^2 - 3 (-119401907625 - 335772637200 z - 361686124800 z^2 + 6036910387200 z^3 + 6541103923200 z^4 + 925142876160 z^5 + 32027705344 z^6 + 268435456 z^7) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (-358205722875 - 243145702800 z - 449902252800 z^2 + 6585313996800 z^3 + 6645296332800 z^4 + 929043578880 z^5 + 32061259776 z^6 + 268435456 z^7) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(3147359846400 Sqrt[2] z^(11/4))










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