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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`=-3/2





http://functions.wolfram.com/07.22.03.a8z8.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {-(3/2), 19/4}, z] == (1/(981467136 Sqrt[2] z^(13/4))) ((2 Sqrt[z] (3714726015 + 2572970400 z - 366702336 z^2 + 491372544 z^3 + 262209536 z^4 + 77594624 z^5 - 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^ 2 + (-11144178045 - 24700515840 z + 1335350016 z^2 - 590413824 z^3 - 282525696 z^4 - 67108864 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (11144178045 + 926269344 z + 311351040 z^2 - 556351488 z^3 - 275054592 z^4 - 73400320 z^5 + 16777216 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^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