Asymptotics for multiple Meixner polynomials

作者：Aptekarev A; Arvesu J^*

来源：Journal of Mathematical Analysis and Applications, 2014, 411(2): 485-505.

DOI：10.1016/j.jmaa.2013.09.057

• Discrete orthogonal polynomials
• Multiple orthogonal polynomials
• nth-root asymptotics
• Recurrence relations
• Vector equilibrium with external field and
• constraint

We study the asymptotic behavior of multiple Meixner polynomials of first and second kind, respectively [6]. We use an algebraic function formulation for the solution of the equilibrium problem with constraint to describe their zero distribution. Moreover, analyzing the limiting behavior of the coefficients of the recurrence relations for Multiple Meixner polynomials we obtain the main term of their asymptotics.

• 出版日期2014-3-15