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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=9/2





http://functions.wolfram.com/07.22.03.aaj2.01









  


  








Input Form





HypergeometricPFQ[{-(5/4)}, {9/2, 13/4}, z] == (1/(93632 Sqrt[2] z^(9/4))) ((2 z (60795 + 154224 z - 87808 z^2 + 4096 z^3) BesselI[1/4, Sqrt[z]]^2 - 3 Sqrt[z] (92925 + 83440 z - 84224 z^2 + 4096 z^3) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] - 2 (31500 + 102375 z + 92400 z^2 - 84736 z^3 + 4096 z^4) 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