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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`=1/2





http://functions.wolfram.com/07.22.03.a9hy.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {1/2, 21/4}, z] == -((17 (2 Sqrt[z] (-383107725 + 544864320 z - 167650560 z^2 - 499580928 z^3 + 1383137280 z^4 - 440401920 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]]^2 - 3 (-638512875 + 1362160800 z - 242161920 z^2 + 170311680 z^3 + 1022558208 z^4 - 425721856 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (1915538625 + 103783680 z^2 - 154828800 z^3 - 1069350912 z^4 + 427819008 z^5 - 16777216 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (10173284352 Sqrt[2] z^(15/4)))










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