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arxiv: 1008.1463 · v1 · pith:M27MMTQInew · submitted 2010-08-09 · 🧮 math-ph · math.MP

Generalization of the Airy function and the operational methods

classification 🧮 math-ph math.MP
keywords airyfunctionmethodsappliedbriefgeneralizationgeneralizationsnote
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In this brief note the operatorial methods are applied to the study of the Airy function and its generalizations.

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    Extends operational calculus for Hermite polynomials to lacunary versions with applications to evolution problems and combinatorics.