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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-7/2





http://functions.wolfram.com/07.22.03.8044.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(7/2), -(21/4)}, z] == (1/(109643625 Sqrt[2])) (z^(1/4) ((109643625 + 184977000 z + 70621200 z^2 - 5059200 z^3 + 1280000 z^4 + 1802240 z^5 + 524288 z^6) BesselI[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (109643625 + 97262100 z + 608400 z^2 + 410880 z^3 + 266240 z^4 + 65536 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 4 z (-109643625 - 9547200 z - 767520 z^2 + 483840 z^3 + 483328 z^4 + 131072 z^5) 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