n=0 be a sequence of orthogonal polynomials. We briefly review properties
of pn that have been used to derive upper and lower bounds for the largest and smallest zero
of pn. Bounds for the extreme zeros of Laguerre, Jacobi and Gegenbauer polynomials that have
been obtained using different approaches are numerically compared and new bounds for extreme
zeros of q-Laguerre and little q-Jacobi polynomials are proved.
Using the q-version of Zeilberger's algorithm, we provide a procedure to find mixed recurrence equations satisfied by classical q-orthogonal polynomials with shifted parameters. These equations are used to investigate ...
Olatinwo, Segun Olatunbosun; Joubert, Trudi-Heleen(Elsevier, 2020-07)
This study presents novel approaches to the allocation of resources in Internet-of-Things sensor network (IoTSN) systems applied to water-quality monitoring for optimal and more sustainable utilization of resources. To ...