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Asymptotics of derivatives of orthogonal polynomials on the real line |
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| Authors: | E Levin D S Lubinsky |
| Institution: | (1) Department of Mathematics, Mathematics Department, The Open University of Israel, P.O. Box 808, Raanana, 43107, Israel;(2) School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA |
| Abstract: | We show that uniform asymptotics of orthogonal polynomials on the real line imply uniform asymptotics for all their derivatives. This is more technically challenging than the corresponding problem on the unit circle. We also examine asymptotics in the L 2 norm. Research supported by NSF grant DMS0400446 and US-Israel BSF grant 2004353. |
| Keywords: | derivatives of orthogonal polynomials asymptotics of orthogonal polynomials Szegő ’ s condition |
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