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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.a8dq.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {-(11/2), 13/4}, z] == ((-2 Sqrt[z] (-16476064605 + 10011277584 z + 9152478720 z^2 + 1270308864 z^3 + 60227584 z^4 + 1048576 z^5) BesselI[1/4, Sqrt[z]]^2 + 3 (-27460107675 + 59526426960 z + 11097816576 z^2 + 1324556288 z^3 + 61145088 z^4 + 1048576 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (-82380323025 + 2834591760 z + 10167657984 z^2 + 1316511744 z^3 + 61014016 z^4 + 1048576 z^5) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(13988265984 Sqrt[2] z^(7/4))










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