title: Asymptotic formulae for the Lommel and Bessel functions and their derivatives.
abstract: We derive new approximate representations of the Lommel functions in terms of the Scorer function and approximate representations of the first derivative of the Lommel functions in terms of the derivative of the Scorer function. Using the same method, we obtain previously known approximate representations of the Nicholson type for Bessel functions and their first derivatives. We study also for what values of the parameters our representations have reasonable accuracy.
authors.affiliation: N.A. Chinakal Institute of Mining, Siberian Branch , Russian Academy of Sciences , Krasnyi pr. 54, Novosibirsk 630091, Russia.
authors.forename: N I
authors.initials: NI
authors.lastname: Aleksandrova
keywords: Airy function; Bessel function; Lommel function; Scorer function