Orthogonal polynomials, special functions and mathematical physics
M. Lorente
TL;DR
This paper discusses the application of orthogonal polynomials and special functions in various fields of mathematical physics, highlighting their usefulness in both experimental and theoretical research.
Contribution
It suggests new ways to utilize orthogonal polynomials and special functions across multiple research areas in mathematical physics.
Findings
Orthogonal polynomials have diverse applications in physics, chemistry, biology, and statistics.
The paper proposes specific methods for applying special functions in mathematical physics.
Potential for further research using these mathematical tools is emphasized.
Abstract
In the 6th Int. Symposium on OPSFA there were several communications dealing with concrete applications of orthogonal polynomials to experimental and theoretical physics, chemistry, biology and statistics. Here I make suggestions concerning the use of powerful apparatus of orthogonal polynomials and special functions in several lines of research in mathematical physics
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Mathematical functions and polynomials · Algebraic and Geometric Analysis