19 citations · 127 across the 51 of their papers we have counts for
54 papers
Sharp two-sided bounds for the product of modified Bessel functions and for its logarithmic derivative
Javier Segura, Soichiro Suzuki
We prove that, for all , the product of modified Bessel functions satisfies \[ \frac{1}{2\sqrt{x^2+ν^2+1/5}}<I_ν(x)K_ν(x)<\frac{1}{2\sqrt{x^2+ν^2-1/4}} , \] where the lower…
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-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…
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…
Analysis of difference schemes for the Fokker-Planck angular diffusion operator
Óscar López Pouso, Javier Segura
This paper is dedicated to the mathematical analysis of finite difference schemes for the angular diffusion operator present in the azimuth-independent Fokker-Planck equation. The…
New asymptotic representations of the noncentral -distribution
Amparo Gil, Javier Segura, Nico M Temme
New asymptotic approximations of the non-central distribution are given, a generalization of the Student's distribution. Using new integral representations, we give new asy…