On the Zeros of -Hankel Transform by Using Pólya-Hurwitz Partial Fraction Method
arXiv:2512.09002
Abstract
The technique of Pólya-Hurwitz of partial fractions is implemented to investigate the zeros of finite -Hankel transforms, which are defined in terms of the third -Bessel function of Jackson. The new approach, which is a -counterpart of Pólya-Hurwitz technique relaxes the restrictive conditions imposed on in the previously obtained results. In the present study, we use the -type sampling theorems of the -Hankel transforms, which lead directly to -partial fractions. Various experimental examples are established.
arXiv comment14 pages