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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 042, 26 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.042 (Mi sigma1341) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Higher Derivatives of Airy Functions and of their Products

Eugeny G. Abramochkin, Evgeniya V. Razueva

Coherent Optics Lab, Lebedev Physical Institute, Samara, 443011, Russia
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DOI: https://doi.org/10.3842/SIGMA.2018.042
Abstract: The problem of evaluation of higher derivatives of Airy functions in a closed form is investigated. General expressions for the polynomials which have arisen in explicit formulae for these derivatives are given in terms of particular values of Gegenbauer polynomials. Similar problem for products of Airy functions is solved in terms of terminating hypergeometric series.
Keywords: Airy functions; Gegenbauer polynomials; hypergeometric function.
Received: October 13, 2017; in final form April 26, 2018; Published online May 5, 2018
Bibliographic databases:
Document Type: Article
MSC: 33C10; 33C05; 33C20
Language: English
Citation: Eugeny G. Abramochkin, Evgeniya V. Razueva, “Higher Derivatives of Airy Functions and of their Products”, SIGMA, 14 (2018), 042, 26 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
     
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