13 citations · 41 across the 16 of their papers we have counts for
16 papers
Approximate closed-form formulas for the zeros of the Bessel Polynomials
Rafael G. Campos, Marisol L. Calderon
We find approximate expressions x(k,n) and y(k,n) for the real and imaginary parts of the kth zero z_k=x_k+i y_k of the Bessel polynomial y_n(x). To obtain these closed-form formul…
A fast algorithm for the linear canonical transform
Rafael G. Campos, Jared Figueroa
In recent years there has been a renewed interest in finding fast algorithms to compute accurately the linear canonical transform (LCT) of a given function. This is driven by the l…
XFT: An Extension of the Discrete Fractional Fourier Transform
Rafael G. Campos, J. Rico-Melgoza, Edgar Chávez
In recent years there has been a growing interest in the fractional Fourier transform driven by its large number of applications. The literature in this field follows two main rout…
A simple convergent solver for initial value problems
Rafael G. Campos, Francisco Dominguez Mota
We present a stable and convergent method for solving initial value problems based on the use of differentiation matrices obtained by Lagrange interpolation. This implicit multiste…
Finite-size effects on a lattice calculation
Rafael G. Campos, Eduardo S. Tututi
We study in this paper the finite-size effects of a non-periodic lattice on a lattice calculation. To this end we use a finite lattice equipped with a central difference derivative…
Quadrature formulas for integrals transforms generated by orthogonal polynomials
Rafael G. Campos, Francisco Dominguez Mota, E. Coronado
By using the three-term recurrence equation satisfied by a family of orthogonal polynomials, the Christoffel-Darboux-type bilinear generating function and their asymptotic expressi…