Source: wikibot/continuous-q-legendre-polynomials
= Continuous q-Legendre polynomials
{wiki=Continuous_q-Legendre_polynomials}
Continuous \\( q \\)-Legendre polynomials are a family of orthogonal polynomials that extend classical Legendre polynomials into the realm of \\( q \\)-calculus. They arise in various areas of mathematics and physics, particularly in the study of orthogonal functions, approximation theory, and in the context of quantum groups and \\( q \\)-series.