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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/07.22.03.9172.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(9/2), 3/4}, z] == (1/(228614400 Sqrt[2])) (z^(1/4) (2 (114307200 + 171248175 z + 73884960 z^2 + 11888640 z^3 + 1040384 z^4 + 65536 z^5) BesselI[-(1/4), Sqrt[z]]^2 - Sqrt[z] (259728525 + 83825280 z + 12648960 z^2 + 1081344 z^3 + 65536 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 z (197500275 + 77384160 z + 12174336 z^2 + 1056768 z^3 + 65536 z^4) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^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