Operator methods applied to special functions
H. Moya-Cessa, F. Soto-Eguibar
TL;DR
This paper explores the use of operator algebra techniques from quantum mechanics to derive properties of special functions like Hermite, Laguerre, and Bessel functions, providing a novel mathematical approach.
Contribution
It introduces a new operator-based method to analyze and derive properties of classical special functions, bridging quantum mechanics and special function theory.
Findings
Derived new identities for Hermite and Laguerre polynomials
Established operator frameworks for Bessel functions
Enhanced understanding of special functions through quantum-inspired methods
Abstract
Based on operator algebras commonly used in quantum mechanics some properties of special functions such as Hermite and Laguerre polynomials and Bessel functions are derived.
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Taxonomy
TopicsNumerical methods in inverse problems