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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`=-9/2





http://functions.wolfram.com/07.22.03.8586.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), -(7/4)}, z] == (1/(297675 z^(1/4))) (Sqrt[2] ((-(-297675 + 793800 z - 756000 z^2 + 80640 z^3 + 173376 z^4 + 43008 z^5 + 16384 z^6)) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (99225 - 132300 z + 50400 z^2 + 29400 z^3 + 7168 z^4 + 2048 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 4 z (297675 + 75600 z^2 + 55440 z^3 + 13824 z^4 + 4096 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