Strong asymptotics of multiply orthogonal polynomials for Nikishin systems
Strong asymptotics of multiply orthogonal polynomials for Nikishin systems
复制标题
Nikishin 系统的乘法正交多项式的强渐近性
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
A. Aptekarev
中科院分区：
文献类型：
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作者：
A. Aptekarev
得到了Nikishin类中马氏型函数系统的Hermite-Pade多项式的强渐近公式。证明是基于黎曼曲面上某些有理函数的性质，这些有理函数与生成Nikishin系的测度的支撑性有关。
Strong asymptotic formulae for the Hermite-Pade polynomials for systems of Markov-type functions in the Nikishin class are obtained. The proof is based on the properties of certain rational functions on Riemann surfaces associated with the supports of the measures generating the Nikishin system.