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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a8pz.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {7/2, 21/4}, -z] == (17 (2 Sqrt[z] (310919283675 + 1233047415600 z - 4762114156800 z^2 + 15660152893440 z^3 + 12075599462400 z^4 + 1331407355904 z^5 + 37799067648 z^6 + 268435456 z^7) BesselJ[1/4, Sqrt[z]]^2 - 3 (518198806125 + 2423575954800 z - 7029787564800 z^2 + 6831536025600 z^3 + 10964671856640 z^4 + 1298729533440 z^5 + 37564186624 z^6 + 268435456 z^7) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (1554596418375 + 3954255505200 z - 7826697964800 z^2 + 7806581452800 z^3 + 11113443164160 z^4 + 1303322296320 z^5 + 37597741056 z^6 + 268435456 z^7) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(183386167050240 Sqrt[2] z^(15/4))










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