THE ROOTS OF THE THIRD JACKSON q-BESSEL FUNCTION

By Luís Daniel Abreu, J. Bustoz, J. Cardoso. 2003

52 citations recorded by the source corpus.

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

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/f4d71b0b629fcc47ed8f2591d4b0efcda556980e

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In Algebra and Number Theory

1. Zeinab S. I. Mansour
2. Mahmoud H. Annaby
3. Mourad E. H. Ismail
4. Luís Daniel Abreu

In Applied Mathematics

1. Zeinab S. I. Mansour
2. Mahmoud H. Annaby
3. Mourad E. H. Ismail
4. Luís Daniel Abreu
5. Feng Qi (祁锋)

Citations in the corpus

• A q-sampling theorem related to the q-Hankel transform (2004, unknown): “In [2] it was proved that jnν ( q(2) ) = q−n+ n , 0 < n < 1.”
• Linear q-Difference Equations (2007, background): “See also [1, 2], [5]–[7] for a study of the zeros and completeness of q-trigonometric and q-Bessel systems.”
• Sampling theory associated with q-difference equations of the Sturm–Liouville type (2005, methodology): “combining this relations with the bounds obtained in [1] for the roots of the third q-Bessel function, we obtain the following theorem on the location of the roots of the functions sin(x; q) and cos(x; q).”