Nico M. Temme

Math. Comput., 2022

Solution of integrals with fractional Brownian motion for different Hurst indices.

[BibT_eX]

[DOI]

Fei Gao

Shuaiqiang Liu

Cornelis W. Oosterlee

CoRR, 2022

Complete asymptotic expansions for the relativistic Fermi-Dirac integral.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2022

2021

Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature.

[BibT_eX]

[DOI]

Numer. Algorithms, 2021

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

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2021

2020

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2020

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

[BibT_eX]

[DOI]

CoRR, 2020

Asymptotic inversion of the binomial and negative binomial cumulative distribution functions.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Noniterative Computation of Gauss-Jacobi Quadrature.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2019

Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures.

[BibT_eX]

[DOI]

Numerische Mathematik, 2019

On the computation and inversion of the cumulative noncentral beta distribution function.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2019

2017

Algorithm 969: Computation of the Incomplete Gamma Function for Negative Values of the Argument.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2017

Efficient algorithms for the inversion of the cumulative central beta distribution.

[BibT_eX]

[DOI]

Numer. Algorithms, 2017

Efficient computation of Laguerre polynomials.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2017

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

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2017

2016

Computation of the incomplete gamma function for negative values of the argument.

[BibT_eX]

[DOI]

CoRR, 2016

2015

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

[BibT_eX]

[DOI]

Numer. Algorithms, 2015

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

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2015

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

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

2014

Algorithm 939: Computation of the Marcum Q-Function.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2014

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

[BibT_eX]

[DOI]

Sci. Comput. Program., 2014

2013

Computation of the Marcum Q-function.

[BibT_eX]

[DOI]

CoRR, 2013

New series expansions of the Gauss hypergeometric function.

[BibT_eX]

[DOI]

José L. López

Adv. Comput. Math., 2013

2012

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2012

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

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2012

2011

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

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2011

2010

Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions.

[BibT_eX]

[DOI]

José L. López

Numerische Mathematik, 2010

Computational properties of three-term recurrence relations for Kummer functions.

[BibT_eX]

[DOI]

Alfredo Deaño

J. Comput. Appl. Math., 2010

Analytical and numerical aspects of a generalization of the complementary error function.

[BibT_eX]

[DOI]

Alfredo Deaño

Appl. Math. Comput., 2010

Parabolic cylinder functions.

[BibT_eX]

Proceedings of the NIST Handbook of Mathematical Functions., 2010

Error functions, Dawson's and Fresnel integrals.

[BibT_eX]

Proceedings of the NIST Handbook of Mathematical Functions., 2010

Exponential, logarithmic, sine and cosine integrals.

[BibT_eX]

Proceedings of the NIST Handbook of Mathematical Functions., 2010

Numerical methods.

[BibT_eX]

Proceedings of the NIST Handbook of Mathematical Functions., 2010

2009

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2009

Asymptotic Inversion of the Erlang B Formula.

[BibT_eX]

[DOI]

J. S. H. van Leeuwaarden

SIAM J. Appl. Math., 2009

Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications.

[BibT_eX]

[DOI]

Vladimir Varlamov

J. Comput. Appl. Math., 2009

Multi-point Taylor approximations in one-dimensional linear boundary value problems.

[BibT_eX]

[DOI]

José L. López

Ester Pérez Sinusía

Appl. Math. Comput., 2009

2008

Numerically satisfactory solutions of Kummer recurrence relations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2008

Identifying minimal and dominant solutions for Kummer recursions.

[BibT_eX]

[DOI]

Alfredo Deaño

Math. Comput., 2008

2007

Numerically satisfactory solutions of hypergeometric recursions.

[BibT_eX]

[DOI]

Math. Comput., 2007

Optimizing an objective function under a bivariate probability model.

[BibT_eX]

[DOI]

Xavier Brusset

Eur. J. Oper. Res., 2007

Numerical methods for special functions.

[BibT_eX]

[DOI]

SIAM, ISBN: 978-0-89871-634-4, 2007

2006

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

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2006

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

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2006

2004

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

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2004

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

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2004

Integral representations for computing real parabolic cylinder functions.

[BibT_eX]

[DOI]

Numerische Mathematik, 2004

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

[BibT_eX]

[DOI]

CoRR, 2004

2003

Computing Special Functions by Using Quadrature Rules.

[BibT_eX]

[DOI]

Numer. Algorithms, 2003

On the zeros of the Scorer functions.

[BibT_eX]

[DOI]

J. Approx. Theory, 2003

Expansions of the exponential integral in incomplete gamma functions.

[BibT_eX]

[DOI]

Walter Gautschi

Frank E. Harris

Appl. Math. Lett., 2003

2002

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

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2002

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

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2002

Computing Complex Airy Functions by Numerical Quadrature.

[BibT_eX]

[DOI]

Numer. Algorithms, 2002

2001

On nonoscillating integrals for computing inhomogeneous Airy functions.

[BibT_eX]

[DOI]

Math. Comput., 2001

1997

Numerical algorithms for uniform Airy-type asymptotic expansions.

[BibT_eX]

[DOI]