This article is cited in 3 papers

On asymptotic regimes for the multiple Meixner polynomials

V. N. Sorokin


Abstract: The asymptotic behavior of the multiple orthogonal polynomials for two Meixner measures of different exponential decay is investigated. The results are represented in terms of the equilibrium problems of the logarithmic potential theory and in terms of the meromorphic functions on Riemann surfaces. Cit. 21 items. Fig. 11.

Keywords: Meixner polynomials, equilibrium problems, saddle point method, Riemann surfaces.

UDC: 517.53

DOI: 10.20948/prepr-2016-46