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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A general stability theorem with applications


Author: Marios Charalambides
Journal: Proc. Amer. Math. Soc. 142 (2014), 191-197
MSC (2010): Primary 33C47, 26C10; Secondary 30C15, 33C52
Published electronically: September 25, 2013
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Abstract: The author presents a generalization of recent stability theorems. Polynomials whose coefficients are successive derivatives of a class of orthogonal functions evaluated at $ x = c$, where $ c$ is a constant, are shown to fit in this general framework. Special reference is made to the ones related to the classical orthogonal polynomials. Related families of polynomials with real negative roots are also introduced.


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Additional Information

Marios Charalambides
Affiliation: General Department, Mathematics - Physics Group, Frederick University, P.O. Box 24729, 1303 Nicosia, Cyprus
Email: bus.chm@fit.ac.cy

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11731-4
PII: S 0002-9939(2013)11731-4
Keywords: Jacobi polynomials, generalized Laguerre polynomials, stability, positive pairs
Received by editor(s): June 13, 2011
Received by editor(s) in revised form: January 28, 2012, and February 28, 2012
Published electronically: September 25, 2013
Communicated by: Walter Van Assche
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.