The moments of the density of zeros for the relativistic Hermite and Laguerre polynomials

DOI10.1016/0898-1221(96)00008-9zbMath0862.33013OpenAlexW2027623875MaRDI QIDQ1913460

Pierpaolo Natalini, Paolo Emilio Ricci

Publication date: 8 July 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00008-9

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of hypergeometric functions (33C90)

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• The quantum relativistic harmonic oscillator: Spectrum of zeros of its wave functions
• 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
• Sum rules for zeros of polynomials and generalized Lucas polynomials
• The relativistic Hermite polynomial is a Gegenbauer polynomial

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