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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a9ly.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {7/2, 21/4}, z] == -((17 (2 Sqrt[z] (1039863825 - 3697293600 z - 11376288000 z^2 - 24980668416 z^3 + 15783100416 z^4 - 1176502272 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]]^2 + 3 (-1733106375 + 7394587200 z + 16432416000 z^2 + 12797706240 z^3 - 14778433536 z^4 + 1161822208 z^5 - 16777216 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (-5199319125 + 11091880800 z + 17717356800 z^2 + 14250885120 z^3 - 14917238784 z^4 + 1163919360 z^5 - 16777216 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(265777053696 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