Projects per year
In this paper, we reconsider the large-z asymptotic expansion of the Lommel function Sμ,ν(z) and its derivative. New representations for the remainder terms of the asymptotic expansions are found and used to obtain sharp and realistic error bounds. We also give re-expansions for these remainder terms and provide their error estimates. Applications to the asymptotic expansions of the Anger--Weber-type functions, the Scorer functions, the Struve functions and their derivatives are provided. A detailed discussion on the sharpness of our error bounds and numerical examples are also given.
|Number of pages||34|
|Journal||Studies in Applied Mathematics|
|Early online date||22 Feb 2018|
|Publication status||Published - May 2018|