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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`=3/2





http://functions.wolfram.com/07.22.03.8308.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {3/2, 3/4}, z] == (1/(434188755000 Sqrt[2])) (z^(1/4) ((434188755000 - 3163630828050 z + 2479017895200 z^2 - 436011033600 z^3 + 23322542080 z^4 - 414842880 z^5 + 2097152 z^6) BesselI[-(1/4), Sqrt[z]]^2 + Sqrt[z] (1066424557275 - 1120593474000 z + 211053427200 z^2 - 11533393920 z^3 + 206766080 z^4 - 1048576 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 (62960643900 - 1339151415525 z + 1189200474000 z^2 - 215169292800 z^3 + 11609825280 z^4 - 207159296 z^5 + 1048576 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