A general stability theorem with applications
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- by Marios Charalambides PDF
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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.References
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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
- 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
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 191-197
- MSC (2010): Primary 33C47, 26C10; Secondary 30C15, 33C52
- DOI: https://doi.org/10.1090/S0002-9939-2013-11731-4
- MathSciNet review: 3119194