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 Detalle_Publicacion

Uniform (very) sharp bounds for ratios of parabolic cylinder functions

Abstract: Parabolic cylinder functions are classical special functions with applications in many different fields. However, there is little information available regarding simple uniform approximations and bounds for these functions. We obtain very sharp bounds for the ratio [ ...] and the double ratio [...] in terms of elementary functions (algebraic or trigonometric) and prove the monotonicity of these ratios; bounds for [...] are also made available. The bounds are very sharp as [...] and this simultaneous sharpness in three different directions explains their remarkable global accuracy. Upper and lower elementary bounds are obtained which are able to produce several digits of accuracy for moderately large [X] and/or n.

Otras publicaciones de la misma revista o congreso con autores/as de la Universidad de Cantabria

 Fuente: Studies in Applied Mathematics, 2021, 147 (2), 816-833.

Editorial: Blackwell Publishing Ltd

 Fecha de publicación: 01/08/2021

Nº de páginas: 18

Tipo de publicación: Artículo de Revista

 DOI: 10.1111/sapm.12401

ISSN: 0022-2526,1467-9590

Proyecto español: PGC2018-098279-B-I00

Url de la publicación: https://doi.org/10.1111/sapm.12401