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HypergeometricU




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Specific values > For fixed z > For fixed z and a=-11/2





http://functions.wolfram.com/07.33.03.0108.01









  


  








Input Form





HypergeometricU[-(11/2), 3, -z] == (1/(128 Sqrt[Pi] z)) ( (z (509355 + 8 z (145530 + z (108315 + 2 z (17220 + z (2535 + 4 z (42 + z)))))) BesselK[0, z/2] - (-10395 + z (72765 + 8 z (76095 + z (80535 + 2 z (14925 + z (2373 + 4 z (41 + z))))))) BesselK[1, z/2] - (z (509355 + 8 z (145530 + z (108315 + 2 z (17220 + z (2535 + 4 z (42 + z)))))) BesselI[0, z/2] + (-10395 + z (72765 + 8 z (76095 + z (80535 + 2 z (14925 + z (2373 + 4 z (41 + z))))))) BesselI[1, z/2]) (Log[-z] - Log[z]))/E^(z/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