Javier Segura

发表

Efficient algorithms for the inversion of the cumulative central beta distribution

Nico M. Temme, Amparo Gil, Javier Segura, 2016, Numerical Algorithms.

9. Other Methods

Nico M. Temme, Amparo Gil, Javier Segura, 2007 .

Computing the real parabolic cylinder functions U(a, x), V(a, x)

Nico M. Temme, Amparo Gil, Javier Segura, 2006, TOMS.

Recent software developments for special functions in the Santander-Amsterdam project

Nico M. Temme, Amparo Gil, Javier Segura, 2014, Sci. Comput. Program..

Algorithm 939

Nico M. Temme, Amparo Gil, Javier Segura, 2014, ACM Trans. Math. Softw..

On the zeros of the Scorer functions

Nico M. Temme, Amparo Gil, Javier Segura, 2003, J. Approx. Theory.

Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions

Nico M. Temme, Amparo Gil, Javier Segura, 2002, TOMS.

Computing Special Functions by Using Quadrature Rules

Nico M. Temme, Amparo Gil, Javier Segura, 2004, Numerical Algorithms.

A new Fortran 90 program to compute regular and irregular associated Legendre functions (new version announcement)

Barry I. Schneider, Amparo Gil, Javier Segura, 2017, Comput. Phys. Commun..

On bounds for monotonic first order differential systems and the Liouville-Green approximation

Javier Segura, 2013, J. Approx. Theory.

Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions

Amparo Gil, Javier Segura, T. Mark Dunster, 2018, Adv. Comput. Math..

A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions

Amparo Gil, Javier Segura, Amparo Gil, 2003, J. Symb. Comput..

A new Fortran 90 program to compute regular and irregular associated Legendre functions

Barry I. Schneider, Amparo Gil, Javier Segura, 2010, Comput. Phys. Commun..

12. Associated Algorithms

Nico M. Temme, Amparo Gil, Javier Segura, 2007 .

7. Computation of the Zeros of Special Functions

Nico M. Temme, Amparo Gil, Javier Segura, 2007 .

Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions

Javier Segura, Alfredo Deaño, J. Segura, 2007, Math. Comput..

Edition d'un numéro spécial "Numerical Software: Design, Analysis and Verification"

Jean-Michel Muller, Amparo Gil, Javier Segura, 2014 .

Computing the complex zeros of special functions

Javier Segura, 2013, Numerische Mathematik.

Algorithm 850: Real parabolic cylinder functions U(a, x), V(a, x)

Nico M. Temme, Amparo Gil, Javier Segura, 2006, TOMS.

Computation of the Real Zeros of the Kummer Function M(a;c;x)

Amparo Gil, Javier Segura, Alfredo Deaño, 2006, ICMS.

Exocytotic dynamics in human chromaffin cells: experiments and modeling

Amparo Gil, Javier Segura, Almudena Albillos, 2012, Journal of Computational Neuroscience.

Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros

Javier Segura, J. Segura, 2001, Math. Comput..

An improved algorithm and a Fortran 90 module for computing the conical function fm-1/2+iτ(x)

Nico M. Temme, Amparo Gil, Javier Segura, 2012, Comput. Phys. Commun..

Computing the real zeros of cylinder functions and the roots of the equation xC'v(x) + yCv(x)

Amparo Gil, Javier Segura, Amparo Gil, 2012, Comput. Math. Appl..

A global Newton method for the zeros of cylinder functions

Javier Segura, J. Segura, 2004, Numerical Algorithms.

GammaCHI: A package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral)

Nico M. Temme, Amparo Gil, Javier Segura, 2015, Comput. Phys. Commun..

New inequalities from classical Sturm theorems

Amparo Gil, Javier Segura, Alfredo Deaño, 2004, J. Approx. Theory.

Numerical methods for special functions

Nico M. Temme, Amparo Gil, Javier Segura, 2007 .

Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders

Nico M. Temme, Amparo Gil, Javier Segura, 2014, Numerical Algorithms.

Interlacing of the zeros of contiguous hypergeometric functions

Javier Segura, J. Segura, 2008, Numerical Algorithms.

Numerically satisfactory solutions of Kummer recurrence relations

Nico M. Temme, Javier Segura, J. Segura, 2008, Numerische Mathematik.

Computing the Kummer function U(a, b, z) for small values of the arguments

Nico M. Temme, Amparo Gil, Javier Segura, 2015, Appl. Math. Comput..

Monotonicity properties and bounds for the chi-square and gamma distributions

Javier Segura, 2014, Appl. Math. Comput..

The Schwarzian-Newton method for solving nonlinear equations, with applications

Javier Segura, J. Segura, 2015, Math. Comput..

Integral representations for computing real parabolic cylinder functions

Nico M. Temme, Amparo Gil, Javier Segura, 2004, Numerische Mathematik.

Computational properties of three-term recurrence relations for Kummer functions

Nico M. Temme, Javier Segura, Alfredo Deaño, 2010, J. Comput. Appl. Math..

Numerically satisfactory solutions of hypergeometric recursions

Nico M. Temme, Amparo Gil, Javier Segura, 2007, Math. Comput..

Calcium3D: A visual software package for the simulation of calcium buffered diffusion in neuroendocrine cells

Amparo Gil, Javier Segura, Germán Carrera, 2005, Comput. Methods Programs Biomed..

Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions

Nico M. Temme, Amparo Gil, Javier Segura, 2002, TOMS.

Algorithm 969

Nico M. Temme, Amparo Gil, Javier Segura, 2016, ACM Trans. Math. Softw..

Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation

Javier Segura, Alfredo Deaño, 2007, J. Approx. Theory.

Computing Complex Airy Functions by Numerical Quadrature

Nico M. Temme, Amparo Gil, Javier Segura, 2002, Numerical Algorithms.

Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios

Nico M. Temme, Amparo Gil, Javier Segura, 2012, SIAM J. Sci. Comput..

Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis

Nico M. Temme, Amparo Gil, Javier Segura, 2020, J. Comput. Appl. Math..

Noniterative Computation of Gauss-Jacobi Quadrature

Nico M. Temme, Amparo Gil, Javier Segura, 2018, SIAM J. Sci. Comput..

Identifying minimal and dominant solutions for Kummer recursions

Nico M. Temme, Javier Segura, Alfredo Deaño, 2008, Math. Comput..

Efficient computation of Laguerre polynomials

Nico M. Temme, Amparo Gil, Javier Segura, 2016, Comput. Phys. Commun..

Computing the Real Zeros of Hypergeometric Functions

Wolfram Koepf, Amparo Gil, Javier Segura, 2004, Numerical Algorithms.

Preface to the special issue on Numerical Software: Design, Analysis and Verification

Jean-Michel Muller, Amparo Gil, Javier Segura, 2014, Sci. Comput. Program..

11. Further Examples

Nico M. Temme, Amparo Gil, Javier Segura, 2007 .

Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs

Amparo Gil, Javier Segura, 2003, SIAM J. Numer. Anal..

Computing the Conical Function Pµ-1/2+iTau(x)

Nico M. Temme, Amparo Gil, Javier Segura, 2009, SIAM J. Sci. Comput..

The Zeros of Special Functions from a Fixed Point Method

Javier Segura, J. Segura, 2002, SIAM J. Numer. Anal..

Computation of the Marcum Q-function pdf

Nico M. Temme, Amparo Gil, Javier Segura, 2013, ArXiv.

Algorithm 914: Parabolic cylinder function W(a, x) and its derivative

Nico M. Temme, Amparo Gil, Javier Segura, 2011, TOMS.

3. Chebyshev Expansions

Nico M. Temme, Amparo Gil, Javier Segura, 2007 .

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

Nico M. Temme, Amparo Gil, Javier Segura, 2004, TOMS.

Algorithm 831: Modified Bessel functions of imaginary order and positive argument

Nico M. Temme, Amparo Gil, Javier Segura, 2004, TOMS.

A new asymptotic representation and inversion method for the Student's t distribution pdf

Nico M. Temme, Amparo Gil, Javier Segura, 2020, Integral Transforms and Special Functions.

On nonoscillating integrals for computing inhomogeneous Airy functions

Nico M. Temme, Amparo Gil, Javier Segura, 2001, Math. Comput..

Conical : An extended module for computing a numerically satisfactory pair of solutions of the differential equation for conical functions

Nico M. Temme, Amparo Gil, Javier Segura, 2017, Comput. Phys. Commun..

Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method

Javier Segura, 2010, SIAM J. Numer. Anal..

GammaCHI: A package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). New version announcement

Nico M. Temme, Amparo Gil, Javier Segura, 2021, Comput. Phys. Commun..

Computation of the reverse generalized Bessel polynomials and their zeros

Amparo Gil, Javier Segura, Diego Ruiz-Antolín, 2021, Comput. Math. Methods.

Monotonicity Properties for Ratios and Products of Modified Bessel Functions and Sharp Trigonometric Bounds

Javier Segura, 2021, Results in Mathematics.

On the zeros and turning points of special functions

Javier Segura, 2003 .

ELF and GNOME: Two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders

Amparo Gil, Javier Segura, Amparo Gil, 1999 .

Sharp bounds for cumulative distribution functions

Javier Segura, J. Segura, 2015, 1506.03740.

Bounds for ratios of modified Bessel functions and associated Turán-type inequalities

Javier Segura, J. Segura, 2011 .

Basic Methods for Computing Special Functions

Nico M. Temme, Amparo Gil, Javier Segura, 2011 .

Evaluation of legendre functions of argument greater than one

Amparo Gil, Javier Segura, Amparo Gil, 1997 .

Evaluation of the modified Bessel function of the third kind of imaginary orders

Nico M. Temme, Amparo Gil, Javier Segura, 2002 .

Fast and accurate computation of the Weber parabolic cylinder function W(a, x)

Nico M. Temme, Amparo Gil, Javier Segura, 2011 .

A code to evaluate prolate and oblate spheroidal harmonics

Amparo Gil, Javier Segura, Amparo Gil, 1998 .

Engineering pancreatic islets

Javier Segura, Angel Nadal, Amparo Gil, 2000, Pflügers Archiv.

EVALUATION OF ASSOCIATED LEGENDRE FUNCTIONS OFF THE CUT AND PARABOLIC CYLINDER FUNCTIONS

Amparo Gil, Javier Segura, Amparo Gil, 1999 .

The ABC of hyper recursions

Nico M. Temme, Amparo Gil, Javier Segura, 2004 .

CA3D: A Monte Carlo code to simulate 3D buffered diffusion of ions in sub-membrane domains

Amparo Gil, Javier Segura, Amparo Gil, 2001 .

The Asymptotic Inversion of Certain Cumulative Distribution Functions

Nico M. Temme, Amparo Gil, Javier Segura, 2010 .

Computation of the modified Bessel function of the third kind of imaginary orders: uniform Airy-type asymptotic expansion

Nico M. Temme, Amparo Gil, Javier Segura, 2003 .

Numerical algorithms for the real zeros of hypergeometric functions

Wolfram Koepf, Amparo Gil, Javier Segura, 2004 .