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HypergeometricU




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Specific values > Specialized values > For fixed a, z





http://functions.wolfram.com/07.33.03.0010.01









  


  








Input Form





HypergeometricU[a, 2 a + n, z] == (Pochhammer[a, n]/Sqrt[Pi]) z^(1/2 - a) E^(z/2) Sum[(((-1)^(k + n) (2 a + 2 k - 1) Pochhammer[-n, n - k])/ ((n - k)! Pochhammer[2 a + k - 1, n + 1])) BesselK[1/2 - a - k, z/2], {k, 0, n}] /; Element[n, Integers] && n >= 0








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)





2001-10-29