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Symbolic Computation of Newton Sum Rules for the Zeros of Polynomial Eigenfunctions of Linear Differential Operators |
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| Authors: | Tiziana Isoni Pierpaolo Natalini Paolo E Ricci |
| Institution: | (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 |
| Abstract: | 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. |
| Keywords: | orthogonal polynomials differential equations with polynomial coefficients zero's distribution Newton sum rules generalized Lucas polynomials |
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