Symbolic Computation of Newton Sum Rules for the Zeros of Polynomial Eigenfunctions of Linear Differential Operators
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A symbolic algorithm based on the generalized Lucas polynomials of first kind is used in order to compute the Newton sum rules for the zeros of polynomial eigenfunctions of linear differential operators with polynomial coefficients.
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- Symbolic Computation of Newton Sum Rules for the Zeros of Polynomial Eigenfunctions of Linear Differential Operators
Volume 28, Issue 1-4 , pp 215-227
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers
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- orthogonal polynomials
- differential equations with polynomial coefficients
- zero's distribution
- Newton sum rules
- generalized Lucas polynomials
- Industry Sectors
- Author Affiliations
- 1. Dipartimento di Matematica, Università degli Studi di Roma “La Sapienza”, P.le A. Moro, 2-00185, Roma, Italy
- 2. Dipartimento di Matematica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo, 1-00146, Roma, Italy