Finite transforms with applications to Bessel differential equations of order higher than two

DOI10.1080/10652469.2024.2306651arXiv2303.08853OpenAlexW4391337631WikidataQ129052842 ScholiaQ129052842MaRDI QIDQ6152748

Gabriel López Garza

Publication date: 12 March 2024

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.08853

zbMATH Keywords

Bessel functionsoperational calculusfinite transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Calculus of Mikusi?ski and other operational calculi (44A40) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• On a generalization of Bessel functions satisfying higher-order differential equations
• The Laguerre Transform
• Mikusiński's operational calculus with algebraic foundations and applications to Bessel functions
• A Division Algebra for Sequences and Its Associated Operational Calculus
• The Operational Calculus of Legendre Transforms
• THE FINITE STURM-LIOUVILLE TRANSFORM
• Convolution algebras arising from Sturm-Liouville transforms and applications

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