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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`=11/2





http://functions.wolfram.com/07.22.03.9660.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {11/2, 11/4}, z] == -(((2 z (4359340235250 - 5337967635000 z - 39941053977825 z^2 - 245860665336000 z^3 + 118502733024000 z^4 - 12254019747840 z^5 + 408394465280 z^6 - 4794089472 z^7 + 16777216 z^8) BesselI[-(1/4), Sqrt[z]]^2 + Sqrt[z] (-26156041411500 + 27045702684000 z + 87937701927075 z^2 + 188319184653600 z^3 - 111476793542400 z^4 + 12006630604800 z^5 - 405426339840 z^6 + 4783603712 z^7 - 16777216 z^8) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + (19617031058625 - 16547699668500 z + 48539919027600 z^2 + 142979196209850 z^3 + 440707537670400 z^4 - 231180489745920 z^5 + 24307525877760 z^6 - 814404993024 z^7 + 9579790336 z^8 - 33554432 z^9) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (322280820576000 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