The concept of wavelet convolution product and their properties are extensively discussed by Pathak [1] and [2], utilizing the theory of Fourier transform. Using the Bessel wavelet transform Pathak, Upadhyay, and Pandey [3] formally introduced the Bessel wavelet convolution product, deriving key approximations and significant results. Additionally, Pinsky [4] introduced the concept of Heuristic treatment of wavelet transform by exploiting the Fourier transform technique, leading to several important characterizations. These developments inspire our investigation into the relationship between the Bessel wavelet convolution product and the Hankel convolution product, the heuristic treatment to the Bessel wavelet transform using the Hankel transform.