Abstract
Dedicated to Prof. L. Gatteschi on the occasion of his 80th birthday Many associated orthogonal q-polynomials satisfy a three term recurrence relation with a common specific form. In this article, a functional analytic method is developed for the study of monotonicity properties of the lowest zero of such associated orthogonal q-polynomials, based on the specific form of the related recurrence relation. Differential inequalities involving the lowest zero of associated continuous q-Jacobi, associated big q-Jacobi, associated Askey–Wilson polynomials and related ones are obtained.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
