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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`=-7/2





http://functions.wolfram.com/07.22.03.8630.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(7/2), -(11/4)}, z] == (1/(218295 z^(1/4))) (Sqrt[2] ((218295 - 555660 z + 441504 z^2 - 181440 z^3 - 129024 z^4 + 430080 z^5 - 65536 z^6) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (72765 - 88200 z + 11088 z^2 - 18816 z^3 - 46592 z^4 + 8192 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 4 z (218295 + 26460 z + 13104 z^2 - 32256 z^3 - 95232 z^4 + 16384 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