Asymptotics of derivatives of orthogonal polynomials on the real line

作者：Levin E^*; Lubinsky D S

来源：Acta Mathematica Hungarica, 2008, 118(1-2): 115-127.

DOI：10.1007/s10474-007-6183-6

• derivatives of orthogonal polynomials
• asymptotics of orthogonal polynomials
• Szego's condition

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.

• 出版日期2008-1