Source: wikibot/gegenbauer-polynomials
= Gegenbauer polynomials
{wiki=Gegenbauer_polynomials}
Gegenbauer polynomials, denoted as \\( C_n^\{(\\lambda)\}(x) \\), are a family of orthogonal polynomials that generalize Legendre polynomials and Chebyshev polynomials. They arise in various areas of mathematics and are particularly useful in solving problems involving spherical harmonics and certain types of differential equations.