Higher Derivatives of Airy Functions and of their Products

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Abramochkin, E.G., Razueva, E.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209530
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Higher Derivatives of Airy Functions and of their Products / E.G. Abramochkin, E.V. Razueva // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 26 назв. — англ.

The problem of evaluating higher derivatives of Airy functions in a closed form is investigated. General expressions for the polynomials that have arisen in explicit formulae for these derivatives are given in terms of particular values of Gegenbauer polynomials. A similar problem for products of Ai...