Interlacing and bounds of zeros of quasi-orthogonal little q-Jacobi polynomials

We consider the little q-Jacobi polynomials of various degrees in quasi-orthogonal sequences {p(n)(z; a, b|q)}(infinity)(n=0) characterized by aq(2), bq is an element of(0, 1) with aq > 1 and study the interlacing properties of their zeros. The interlacing of the zeros of the quasi orthogonal polynomials pn (z; a, b|q) and the orthogonal polynomials pm (z; aq(k), b |q ), m, n is an element of N, k is an element of {1, 2} is discussed. We derive new bounds for the least zero of pn (z; a, b |q) and compare their limiting cases to those of the quasi-orthogonal Jacobi polynomials due to Driver and Jordaan (SIGMA 12, 042, 13 pages 2016).