Sum rules for zeros of polynomials and generalized Lucas polynomials

DOI10.1063/1.530329zbMath0785.33005OpenAlexW2038232928MaRDI QIDQ4276734

Paolo Emilio Ricci

Publication date: 13 April 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530329

zbMATH Keywords

zerosLucas polynomials of the second kind

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Ordinary differential operators (34L99)

Related Items (6)

Computing the moments of the density of zeros for orthogonal polynomials ⋮ The moments of the density of zeros for the relativistic Hermite and Laguerre polynomials ⋮ Computation of Newton sum rules for associated and co-recursive classical orthogonal polynomials ⋮ Newton sum rules of polynomials defined by a three-term recurrence relation ⋮ Orthogonal polynomials---centroid of their zeroes ⋮ On the calculation of moments of the zero density of classical and semiclassical orthogonal polynomials

Cites Work

• On the polynomial solutions of ordinary differential equations of the fourth order
• On the zeros of eigenfunctions of polynomial differential operators
• Sum rules for zeros of polynomials. I
• An Explicit Formula for $f(\mathcal{A})$ and the Generating Functions of the Generalized Lucas Polynomials
• Solution of the Difference Equations of Generalized Lucas Polynomials

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