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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`=7/2





http://functions.wolfram.com/07.22.03.a95w.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {7/2, 19/4}, z] == -(((2 Sqrt[z] (3714726015 - 30875644800 z - 44606225664 z^2 - 122475085824 z^3 + 32444841984 z^4 - 1577058304 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^2 + (-11144178045 + 75645329760 z + 82383485184 z^2 + 104650850304 z^3 - 31487361024 z^4 + 1566572544 z^5 - 16777216 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (11144178045 + 54014216256 z + 65141556480 z^2 + 114949029888 z^3 - 32057131008 z^4 + 1572864000 z^5 - 16777216 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (142343405568 Sqrt[2] z^(13/4)))










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