The distribution of zeros of a class of Jacobi polynomials
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- by Marios Charalambides and George Csordas PDF
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Abstract:
Polynomials whose coefficients are successive derivatives of a class of generalized Laguerre polynomials evaluated at $x=0$ are shown to be stable. These polynomials can be expressed in terms of Jacobi polynomials. The authors also prove that a related family of polynomials, depending on a parameter, possess only real and negative zeros. A special class of stability-preserving operators is also investigated.References
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Additional Information
- Marios Charalambides
- Affiliation: Mathematics, Physics, and Science Group, Frederick University, P.O. Box 24729, 1303 Nicosia, Cyprus
- Email: bus.chm@fit.ac.cy
- George Csordas
- Affiliation: Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822
- Email: george@math.hawaii.edu
- Received by editor(s): June 10, 2009
- Received by editor(s) in revised form: February 9, 2010
- Published electronically: June 9, 2010
- Communicated by: Walter Van Assche
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 4345-4357
- MSC (2010): Primary 33C47, 26C10; Secondary 30C15, 33C52
- DOI: https://doi.org/10.1090/S0002-9939-2010-10436-7
- MathSciNet review: 2680060