Multiple little -Jacobi polynomials

We introduce two kinds of multiple little q-Jacobi polynomials p n ⇒ with multi-index n ⇒ = ( n 1 , n 2 , … , n r ) and degree | n ⇒ | = n 1 + n 2 + ⋯ + n r by imposing orthogonality conditions with respect to r discrete little q-Jacobi measures on the exponential lattice { q k , k = 0 , 1 , 2 , 3 , … } , where 0 < q < 1 . We show that these multiple little q-Jacobi polynomials have useful q-difference properties, such as a Rodrigues formula (consisting of a product of r difference operators). Some properties of the zeros of these polynomials and some asymptotic properties will be given as well.