Higher Derivatives of Airy Functions and of their Products

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dc.contributor.authorAbramochkin, E.G.
dc.contributor.authorRazueva, E.V.
dc.date.accessioned2025-11-24T10:42:57Z
dc.date.issued2018
dc.description.abstractThe 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 Airy functions is solved in terms of terminating hypergeometric series.
dc.description.sponsorshipThe authors are grateful to Professor S.K. Suslov for his valuable comments that helped to improve the manuscript. The authors also thank the anonymous referees for their constructive criticisms and suggestions.
dc.identifier.citationHigher 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.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.042
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33C10; 33C05; 33C20
dc.identifier.otherarXiv: 1707.05218
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209530
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleHigher Derivatives of Airy Functions and of their Products
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік