Vol. 133, No. 2, 1988

Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Asymptotics for solutions of systems of smooth recurrence equations

William Charles Bauldry, Attila Mate and Paul Nevai

Vol. 133 (1988), No. 2, 209–227
Abstract

It is shown that convergent solutions of a system of smooth recurrence equations whose Jacobian matrix satisfies a certain “nonunimodularity” condition can be approximated by asymptotic expansions. An application is given to approximate the recurrence coefficients associated with polynomials orthonormal with respect to the weight exp(Q(x)), where Q is an even degree polynomial with positive leading coefficients.

Mathematical Subject Classification 2000
Primary: 39A10
Secondary: 42C05, 33A65
Milestones
Received: 16 June 1986
Published: 1 June 1988
Authors
William Charles Bauldry
Attila Mate
Paul Nevai