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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=9/4, b1`>=-11/2 > For fixed z and a1=9/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.ad8q.01









  


  










Input Form





HypergeometricPFQ[{9/4}, {-(11/2), -(21/4)}, z] == (1/(10854718875 Sqrt[2])) (z^(1/4) ((10854718875 + 22555260000 z + 14789174400 z^2 + 3419020800 z^3 + 472158720 z^4 + 55664640 z^5 + 22937600 z^6 + 2097152 z^7) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-10854718875 - 13871484900 z - 4463877600 z^2 - 739333440 z^3 - 88888320 z^4 - 12042240 z^5 + 9699328 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 4 z (10854718875 + 5187709800 z + 1085600880 z^2 + 144754560 z^3 + 17049600 z^4 + 3440640 z^5 + 524288 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