Weak asymptotics of multiple Pollaczek polynomials

V. N. Sorokin


Abstract: The polynomials defined by a special two-diagonal non-symmetric operator are considered. The weak asymptotics of the scaled polynomials is obtained. The potential theory interpretation is given.

Keywords: spectral theory, Pollaczek polynomials, Nikishin system, equilibrium problems of the logarithmic potential theory, saddle point method, Riemann surfaces, algebraic functions.

UDC: 517.53

DOI: 10.20948/prepr-2017-26