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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=19/4, b1`>=-11/2 > For fixed z and a1=19/4, b1`=3/2





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









  


  








Input Form





HypergeometricPFQ[{19/4}, {3/2, -(7/4)}, z] == (1/(72765 z^(1/4))) (Sqrt[2] (3 (24255 - 92400 z + 165632 z^2 + 36864 z^3) BesselI[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (72765 - 159120 z + 182016 z^2 + 4096 z^3) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 96 z (1935 + 240 z + 1024 z^2) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^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