Mikusi\'nski's Operational Calculus with Algebraic Foundations and Applications to Bessel Functions
Gabriel Bengochea, Gabriel L\'opez G
TL;DR
This paper develops an algebraic operational calculus based on Mikusiński's approach to solve Bessel-type differential equations, providing a new algebraic framework for such problems.
Contribution
It introduces an algebraic operational calculus supported on previous work, enabling the solution of Bessel-type equations in a novel algebraic setting.
Findings
Constructed an operational calculus on algebraic foundations.
Applied the calculus to solve Bessel-type equations.
Provided a new algebraic method for differential equations.
Abstract
We construct an operational calculus supported on the algebraic operational calculus introduced by Bengochea and Verde. With this operational calculus we study the solution of certain Bessel type equations.
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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topics in Algebra