The Bicomplex Dual Fractional Hankel Transform

We provide a concrete characterization of the Bergman space of bicomplex-valued bc-meromorphic functions with a strong pole at the origin of the bicomplex discus. The explicit expression of its reproducing kernel is given, and its integral representation as the range of the bicomplex version of the generalized second Bargmann transform is also considered. In addition, we construct the bicomplex analog of the fractional Hankel transform as well as its dual transform. Its range is described and its reproducing kernel is given. Such description involves the zeros of the generalized Laguerre polynomials.