Symbolic calculus and integrals of Laguerre polynomials
D. Babusci, G. Dattoli, K. G\'orska
TL;DR
This paper introduces an umbral formalism approach to derive integrals involving products of Laguerre polynomials and other special functions, providing a symbolic calculus framework.
Contribution
It presents a novel umbral calculus method for calculating integrals of Laguerre polynomial products and related special functions.
Findings
Derived new integral formulas for Laguerre polynomials
Established connections between Laguerre polynomials and other special functions
Provided a symbolic calculus framework for these integrals
Abstract
An umbral type formalism is used to derive integrals involving products of Laguerre polynomials and other special functions.
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Taxonomy
TopicsHistory and Theory of Mathematics · Mathematics and Applications · Advanced Differential Equations and Dynamical Systems