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HypergeometricU






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Differentiation > Symbolic differentiation > With respect to b





http://functions.wolfram.com/07.33.20.0008.02









  


  










Input Form





Derivative[0, n, 0][HypergeometricU][a, b, z] == Sum[D[Gamma[1 - b]/(Gamma[a - b + 1] Pochhammer[b, k]), {b, n}] ((Pochhammer[a, k] z^k)/k!), {k, 0, Infinity}] + Sum[D[(Pochhammer[a - b + 1, k] Gamma[b - 1] z^(1 - b))/ Pochhammer[2 - b, k], {b, n}] (z^k/(Gamma[a] k!)), {k, 0, Infinity}] /; Element[n, Integers] && n >= 0 && !Element[b, Integers]










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





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