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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`=-11/2





http://functions.wolfram.com/07.22.03.8550.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(11/2), 5/4}, z] == ((-2 (-110649369600 + 73556028315 z + 53048595600 z^2 + 9486005760 z^3 + 789110784 z^4 + 37158912 z^5 + 1048576 z^6) BesselI[1/4, Sqrt[z]]^2 + 3 Sqrt[z] (189653604525 + 62832868560 z + 10238215680 z^2 + 823173120 z^3 + 38076416 z^4 + 1048576 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 z (126363335175 + 61077194640 z + 10117578240 z^2 + 818012160 z^3 + 37945344 z^4 + 1048576 z^5) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(110649369600 Sqrt[2] z^(1/4))










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