Higher Derivatives of Airy Functions and of their Products

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2018
• ISSN: 1815-0659
• Hauptverfasser: Abramochkin, E.G., Razueva, E.V.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209530
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...