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Computation of the reverse generalized Bessel polynomials and their zeros

Abstract: It is well known that one of the most relevant applications of the reverse Bessel polynomials ??n(z) is filter design. In particular, the poles of the transfer function of a Bessel filter are basically the zeros of ??n(z). In this article we discuss an algorithm to compute the zeros of reverse generalized Bessel polynomials ??n(z; a). A key ingredient in the algorithm will be a method to compute the polynomials. For this purpose, we analyze the use of recurrence relations and asymptotic expansions in terms of elementary functions to obtain accurate approximations to the polynomials. The performance of all the numerical approximations will be illustrated with examples.

 Autoría: Dunster T.M., Gil A., Ruiz-Antolín D., Segura J.,

 Congreso: International Conference on Computational and Mathematical Methods in Science and Engineering: CMMSE 2021 (21ª : 2021 : Cádiz)

 Fuente: Computational and Mathematical Methods, 2021, 3(6), e1198

Editorial: John Wiley & Sons Inc.

 Fecha de publicación: 01/11/2021

Nº de páginas: 12

Tipo de publicación: Artículo de Revista

 DOI: 10.1002/cmm4.1198

ISSN: 2577-7408

Proyecto español: PGC2018-098279-B-I00

Url de la publicación: https://doi.org/10.1002/cmm4.1198