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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`=-9/2





http://functions.wolfram.com/07.22.03.9176.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(9/2), 7/4}, z] == ((2 Sqrt[z] (8828941275 + 10470675600 z + 2624140800 z^2 + 299950080 z^3 + 20381696 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]]^2 - (-13749310575 + 13015371600 z + 2858042880 z^2 + 314449920 z^3 + 21037056 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (13749310575 + 11300945040 z + 2709020160 z^2 + 305455104 z^3 + 20643840 z^4 + 1048576 z^5) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(26824089600 Sqrt[2] z^(1/4))










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