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