1 citations · 2 across the 6 of their papers we have counts for
6 papers
Uniform Asymptotic approximation and numerical evaluation of the Reverse Generalized Bessel Polynomial zeros
T. M. Dunster, Amparo Gil, Diego Ruiz-Antolin +1
Uniform asymptotic expansions are derived for the zeros of the reverse generalized Bessel polynomials of large degree and real parameter . It is assumed that $-Δ_{1} n+\frac…
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane
T. M. Dunster, A. Gil, D. Ruiz-Antolín +1
A numerical algorithm (implemented in Matlab) for computing the zeros of the parabolic cylinder function in domains of the complex plane is presented. The algorithm uses a…
Uniform asymptotic expansions for the zeros of parabolic cylinder functions
T. M. Dunster, A. Gil, D. Ruiz-Antolin +1
The real and complex zeros of the parabolic cylinder function are studied. Asymptotic expansions for the zeros are derived, involving the zeros of Airy functions, and thes…
A nonuniform fast Fourier transform based on low rank approximation
Diego Ruiz-Antolin, Alex Townsend
By viewing the nonuniform discrete Fourier transform (NUDFT) as a perturbed version of a uniform discrete Fourier transform, we propose a fast, stable, and simple algorithm for com…
Computation of the incomplete gamma function for negative values of the argument
A. Gil, D. Ruiz-Antolín, J. Segura +1
An algorithm for computing the incomplete gamma function for real values of the parameter and negative real values of the argument is presented. The algorithm co…
A new type of sharp bounds for ratios of modified Bessel functions
D. Ruiz-Antolin, J. Segura
The bounds for the ratios of first and second kind modified Bessel functions of consecutive orders are important quantities appearing in a large number of scientific applications.…