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





http://functions.wolfram.com/07.22.03.a98c.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {11/2, 11/4}, z] == -(((4 z (53482275 - 48024900 z - 213617250 z^2 - 771531840 z^3 + 226897920 z^4 - 11780096 z^5 + 131072 z^6) BesselI[-(1/4), Sqrt[z]]^ 2 - 4 Sqrt[z] (160446825 - 113513400 z - 215644275 z^2 - 323991360 z^3 + 109877760 z^4 - 5849088 z^5 + 65536 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + (481340475 - 248856300 z + 646153200 z^2 + 1348439400 z^3 + 2876670720 z^4 - 896016384 z^5 + 46989312 z^6 - 524288 z^7) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(1845792000 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