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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`=-5/2





http://functions.wolfram.com/07.22.03.a8hy.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {-(5/2), 21/4}, z] == -((17 (2 Sqrt[z] (-2798273553075 + 3444028988400 z - 325361836800 z^2 + 9336729600 z^3 + 66375843840 z^4 + 13787725824 z^5 + 1459617792 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]]^2 - 3 (-4663789255125 + 9056520673200 z + 364799635200 z^2 + 116633088000 z^3 + 82354176000 z^4 + 15461253120 z^5 + 1694498816 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] - 2 Sqrt[z] (-13991367765375 - 2678689213200 z - 71833132800 z^2 + 83566080000 z^3 + 78962688000 z^4 + 15146680320 z^5 + 1660944384 z^6 + 268435456 z^7) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(1743991603200 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