International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 67, Pages 4241-4248
doi:10.1155/S016117120320613X

The roots of the third Jackson q-Bessel function

L.D. Abreu1 , J. Bustoz2 and J.L. Cardoso3

1Department of Mathematics, University of Coimbra, Coimbra 3000, Portugal
2Department of Mathematics, Arizona State University, Tempe 85287-1804, AZ, USA
3Department of Mathematics, University of Tras-os-Montes and Alto Douro, Vila Real 5000-410, Portugal

Abstract

We derive analytic bounds for the zeros of the third Jackson q-Bessel function Jv(3)(z;q).