Jordaan, Kerstin HeidrunTookos, Ferenc2010-03-242010-03-242010-07Jordaan, K & Tookos, F 2010, 'Mixed recurrence relations and interlacing of the zeros of some q-orthogonal polynomials from different sequences', Acta Mathematica Hungarica, vol. 128, no. 1-2, pp. 150-164, doi:10.1007/s10474-009-9176-9. [http://www.springerlink.com/content/102836/?p=daf2f804c3f24df1865a0b9c7f6d4ae8π=12]0236-529410.1007/s10474-009-9176-9http://hdl.handle.net/2263/13691We use the generating functions of some q-orthogonal polynomials to obtain mixed recurrence relations involving polynomials with shifted parameter values. These relations are used to prove interlacing results for the zeros of Al- Salam–Chihara, continuous q-ultraspherical, q-Meixner–Pollaczek and q-Laguerre polynomials of the same or adjacent degree as one of the parameters is shifted by integer values or continuously within a certain range. Numerical examples are given to illustrate situations where the zeros do not interlace.enSpringerInterlacing of zerosMixed recurrence relationsRelation algebrasOrthogonal polynomialsGenerating functionsPostprint Article