ASYMPTOTICS FOR POLYNOMIALS SATISFYING A CERTAINTWIN ASYMPTOTIC PERIODIC RECURRENCE RELATION:UNBOUNDED CASES

摘要

Polynomials satisfying a certain twin asymptotic periodic recurrence relation areconsidered. It is assumed that the coefficients of the recurrence formula are unbounded but varyregularly and have different behaviour for even and odd indices. The asymptotic behaviour of theratio of contiguous polynomials is analyzed.