ABSTRACT

AMS No.: Primary 39A10; Secondary 33045, 05A16, 11A55. Keywords: Volterra integral equations, Chebyshev recurrence relation, Pollaczek polynomials, the zeta function, asymptotics.

Abstract

Section 2 refines the results in Elaydi (15] so they can be applied to numerical methods of Volterra integral equations. Section 3 specializes the study to asymptotics of second order difference equations. The results obtained are then utilized to find asymptotics of orthogonal polynomials.