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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`=5/2





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









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {5/2, 21/4}, z] == (221 (2 Sqrt[z] (2837835 - 5266800 z + 5322240 z^2 + 32169984 z^3 - 20512768 z^4 + 1048576 z^5) BesselI[1/4, Sqrt[z]]^2 - 3 (4729725 - 12141360 z + 10053120 z^2 + 15769600 z^3 - 19595264 z^4 + 1048576 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] - 2 Sqrt[z] (14189175 - 6153840 z + 12418560 z^2 + 17817600 z^3 - 19726336 z^4 + 1048576 z^5) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (4662755328 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