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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=23/4, b1`>=-11/2 > For fixed z and a1=23/4, b1`=-11/2





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









  


  










Input Form





HypergeometricPFQ[{23/4}, {-(11/2), -(19/4)}, -z] == (Sqrt[2] ((45054499903875 + 80192698393500 z + 12186990723600 z^2 - 17479666512000 z^3 + 5622161529600 z^4 - 1478007336960 z^5 - 7067253473280 z^6 + 8011659608064 z^7 - 227247390720 z^8 + 268435456 z^9) BesselJ[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (-15018166634625 - 6706677285000 z + 8694043696800 z^2 - 3137580230400 z^3 + 743250816000 z^4 - 77662126080 z^5 + 1558197043200 z^6 - 295832649728 z^7 + 2080374784 z^8) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] - 4 z (-45054499903875 + 39952634683500 z - 15745635813600 z^2 + 4208657745600 z^3 - 1155830860800 z^4 + 770149416960 z^5 + 1375870648320 z^6 - 52181336064 z^7 + 67108864 z^8) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(45054499903875 z^(1/4))










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