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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=3/2





http://functions.wolfram.com/07.22.03.8858.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {3/2, -(23/4)}, z] == (1/(2292816782025 z^(1/4))) (Sqrt[2] ((-(-2292816782025 + 3190005957600 z + 1710826548480 z^2 + 259719118848 z^3 + 18666160128 z^4 + 748683264 z^5 + 16777216 z^6)) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (764272260675 + 246469255200 z + 34658426880 z^2 + 2418253824 z^3 + 95420416 z^4 + 2097152 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 32 z (150301366425 + 60207877800 z + 8578321920 z^2 + 601380864 z^3 + 23789568 z^4 + 524288 z^5) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^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