Asymptotic formulae for the Lommel and Bessel functions and their derivatives

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 represent...

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Bibliographic Details
Main Author: N. I. Aleksandrova
Format: Article
Language:English
Published: The Royal Society 2014-01-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.140176