Stable regions of Turan expressions
2015 (English)In: Journal of Approximation Theory, ISSN 0021-9045, E-ISSN 1096-0430, Vol. 192, 144-155 p.Article in journal (Refereed) Published
Consider polynomial sequences that satisfy a first-order differential recurrence. We prove that if the recurrence is of a special form, then the Turk expressions for the sequence are weakly Hurwitz stable (non-zero in the open right half-plane). A special case of our theorem settles a problem proposed by S. Fisk that the Turan expressions for the univariate Bell polynomials are weakly Hurwitz stable. We obtain related results for Chebyshev and Hermite polynomials, and propose several extensions involving Laguerre polynomials, Bessel polynomials, and Jensen polynomials associated to a class of real entire functions. (C) 2014 Elsevier Inc. All rights reserved.
Place, publisher, year, edition, pages
2015. Vol. 192, 144-155 p.
IdentifiersURN: urn:nbn:se:kth:diva-164432DOI: 10.1016/j.jat.2014.12.002ISI: 000351253600008ScopusID: 2-s2.0-84920273688OAI: oai:DiVA.org:kth-164432DiVA: diva2:807975
QC 201504272015-04-272015-04-172015-04-27Bibliographically approved