López García, José LuisPagola Martínez, Pedro Jesús2018-12-142018-12-1420181019-7168 (Print)1572-9044 (Electronic)10.1007/s10444-017-9543-yhttps://academica-e.unavarra.es/handle/2454/31775This is a post-peer-review, pre-copyedit version of an article published in Advances in Computational Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s10444-017-9543-yWe consider the Bessel functions Jν (z) and Yν (z) for ν > −1/2 and z ≥ 0. We derive a convergent expansion of Jν (z) in terms of the derivatives of (sin z)/z, and a convergent expansion of Yν (z) in terms of derivatives of (1−cos z)/z, derivatives of (1 − e−z)/z and (2ν, z). Both expansions hold uniformly in z in any fixed horizontal strip and are accompanied by error bounds. The accuracy of the approximations is illustrated with some numerical experiments.18 p.application/pdfeng© Springer Science+Business Media, LLC 2017Bessel functionsConvergent expansionsError boundsUniform expansionsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessAcceso abierto / Sarbide irekia