4 papers
Optimized bounds for the product and the ratios of modified Bessel functions
Javier Segura, Soichiro Suzuki
New sharp bounds for the product and the ratios of modified Bessel functions are presented. Most bounds for the product are derived as direct consequences of previously established…
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane
T. M. Dunster, A. Gil, D. Ruiz-AntolÃn +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 relations between the Gauss-Legendre nodes and weights
Ãscar López Pouso, Javier Segura
Four different relations between the Legendre nodes and weights are presented which, unlike the circle and trapezoid theorems for Gauss-Legendre quadrature, hold uniformly in the w…
McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions
Amparo Gil, Javier Segura, Nico M. Temme
We derive asymptotic expansions of the large zeros of the Coulomb wave functions and for those of their derivatives. The new expansions have the same form as the McMahon expansions…