Big q-Legendre polynomials

In mathematics, the big q-Legendre polynomials are an orthogonal family of polynomials defined in terms of Heine's basic hypergeometric series as . They obey the orthogonality relation and have the limiting behavior where is the th Legendre polynomial.

Big q-Legendre polynomials

In mathematics, the big q-Legendre polynomials are an orthogonal family of polynomials defined in terms of Heine's basic hypergeometric series as . They obey the orthogonality relation and have the limiting behavior where is the th Legendre polynomial.