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Theory of Hermite and Laguerre Bessel function from the umbral point of view

Applied Mathematics and Computation, ISSN: 0096-3003, Vol: 488, Page: 129103
2025
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Article Description

The theoretical underpinnings of hybrid families of special functions are examined through an umbral reformulation. Our discussion encompasses diverse families of Bessel-type functions and special polynomials, all situated within a unifying umbral-algebraic formalism. The method presented capitalizes on recent advancements in the formal treatment of higher transcendental functions, enabling novel and intriguing generalizations.

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