Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

Abstract Motivated by the recent studies and developments of integral transforms with various special matrix functions, including orthogonal polynomials as kernels, in this article we derive formulas for Fourier cosine sine functions involving generalized Bessel polynomials. With help these several results are obtained, which extensions corresponding standard cases. The given here general character can yield a number (known new) modern transforms.