Geodesic
Higher Derivatives of Airy Functions and of their Products
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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Eugeny G. Abramochkin; Evgeniya V. Razueva. Higher Derivatives of Airy Functions and of their Products. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a41/

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