If we set c = 0, and in the definition (3.5.1) of the big q-Jacobi polynomials and let we find the Jacobi polynomials given by (1.8.1) :
If we take for arbitrary real instead of c = 0 we find
If we set c = 0 in the definition (3.5.13) of the big q-Legendre polynomials and let we simply obtain the Legendre (or spherical) polynomials defined by (1.8.57) :
If we take for arbitrary real instead of c = 0 we find