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





http://functions.wolfram.com/07.22.03.adr0.01









  


  








Input Form





HypergeometricPFQ[{11/4}, {-(9/2), 13/4}, z] == -((1/(903168 Sqrt[2] z^(7/4))) ((2 Sqrt[z] (-40883535 + 33015024 z + 14047488 z^2 + 2371584 z^3 + 65536 z^4) BesselI[1/4, Sqrt[z]]^2 - (-204417675 + 314954640 z + 165650688 z^2 + 35328000 z^3 + 2424832 z^4) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (204417675 + 121136400 z + 29934336 z^2 + 3330048 z^3 + 65536 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