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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`=-9/2





http://functions.wolfram.com/07.22.03.afi8.01









  


  










Input Form





HypergeometricPFQ[{19/4}, {-(9/2), -(15/4)}, z] == -((1/(11345882625 z^(1/4))) (Sqrt[2] ((-11345882625 + 19498109400 z - 2130559200 z^2 - 4313675520 z^3 - 2004710400 z^4 + 12716605440 z^5 + 13351256064 z^6 + 260046848 z^7) BesselI[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (-11345882625 + 4370265900 z + 6577956000 z^2 + 2648479680 z^3 + 298045440 z^4 + 8346009600 z^5 + 1330642944 z^6 + 4194304 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 4 z (-11345882625 - 10757577600 z - 4883986800 z^2 - 1829963520 z^3 - 1390878720 z^4 + 2385838080 z^5 + 61865984 z^6) BesselI[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