Amparo Gil

activity

19962024

most citedMany Body approach to the inclusive

(e, e^{'})

reaction from the quasielastic to the

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excitation region

151 citations · 327 across the 38 of their papers we have counts for

collaborators

Showing 2004Show all

5 papers · 1 filter

math.CA2004

The ABC of Hyper Recursions

Amparo Gil, Javier Segura, Nico M. Temme

Each family of Gauss hypergeometric functions $f_{n} =_{2} F_{1} (a + ε_{1} n, b + ε_{2} n; c + ε_{3} n; z),$ for fixed $ε_{j} = 0, \pm 1$ (not all $ε_{j}$ equal to zero) satisfies a second order linear dif…

math.NA2004★ 2 cited

Integral Representations for Computing Real Parabolic Cylinder Functions

Amparo Gil, Javier Segura, Nico M. Temme

Integral representations are derived for the parabolic cylinder functions $U (a, x)$ , $V (a, x)$ and $W (a, x)$ and their derivatives. The new integrals will be used in numerical algorit…

math.NA2004

Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments

Amparo Gil, Javier Segura, Nico M. Temme

We describe a variety of methods to compute the functions $K_{ia} (x)$ , $L_{ia} (x)$ and their derivatives for real $a$ and positive $x$ . These functions are numerically satisfactory…

cs.MS2004

Algorithm xxx: Modified Bessel functions of imaginary order and positive argument

Amparo Gil, Javier Segura, Nico M. Temme

Fortran 77 programs for the computation of modified Bessel functions of purely imaginary order are presented. The codes compute the functions $K_{ia} (x)$ , $L_{ia} (x)$ and their der…

math.NA2004★ 4 cited

Numerical algorithms for the real zeros of hypergeometric functions

Amparo Gil, Wolfram Koepf, Javier Segura

Algorithms for the computation of the real zeros of hypergeometric functions which are solutions of second order ODEs are described. The algorithms are based on global fixed point…