Numerical algorithms for uniform Airy-type asymptotic expansions. - Nico M. Temme (Numer. Algorithms, 1997)

On nonoscillating integrals for computing inhomogeneous Airy functions. - Amparo Gil; Javier Segura 001; Nico M. Temme (Math. Comput., 2001)

Computing Complex Airy Functions by Numerical Quadrature. - Amparo Gil; Javier Segura 001; Nico M. Temme (Numer. Algorithms, 2002)

Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex airy functions. - Amparo Gil; Javier Segura 001; Nico M. Temme (ACM Trans. Math. Softw., 2002)

Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions. - Amparo Gil; Javier Segura 001; Nico M. Temme (ACM Trans. Math. Softw., 2002)

Expansions of the exponential integral in incomplete gamma functions. - Walter Gautschi; Frank E. Harris; Nico M. Temme (Appl. Math. Lett., 2003)

On the zeros of the Scorer functions. - Amparo Gil; Javier Segura 001; Nico M. Temme (J. Approx. Theory, 2003)

Computing Special Functions by Using Quadrature Rules. - Amparo Gil; Javier Segura 001; Nico M. Temme (Numer. Algorithms, 2003)

Algorithm xxx: Modified Bessel functions of imaginary order and positive argument - Amparo Gil; Javier Segura 001; Nico M. Temme (CoRR, 2004)

Integral representations for computing real parabolic cylinder functions. - Amparo Gil; Javier Segura 001; Nico M. Temme (Numerische Mathematik, 2004)

Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. - Amparo Gil; Javier Segura 001; Nico M. Temme (ACM Trans. Math. Softw., 2004)

Algorithm 831: Modified Bessel functions of imaginary order and positive argument. - Amparo Gil; Javier Segura 001; Nico M. Temme (ACM Trans. Math. Softw., 2004)

Computing the real parabolic cylinder functions U(a, x), V(a, x). - Amparo Gil; Javier Segura 001; Nico M. Temme (ACM Trans. Math. Softw., 2006)

Algorithm 850: Real parabolic cylinder functions U(a, x), V(a, x). - Amparo Gil; Javier Segura 001; Nico M. Temme (ACM Trans. Math. Softw., 2006)

Numerical methods for special functions. - Amparo Gil; Javier Segura 001; Nico M. Temme (SIAM, 2007)

Optimizing an objective function under a bivariate probability model. - Xavier Brusset; Nico M. Temme (Eur. J. Oper. Res., 2007)

Numerically satisfactory solutions of hypergeometric recursions. - Amparo Gil; Javier Segura 001; Nico M. Temme (Math. Comput., 2007)

Identifying minimal and dominant solutions for Kummer recursions. - Alfredo Deaño; Javier Segura 001; Nico M. Temme (Math. Comput., 2008)

Numerically satisfactory solutions of Kummer recurrence relations. - Javier Segura 001; Nico M. Temme (Numerische Mathematik, 2008)

Multi-point Taylor approximations in one-dimensional linear boundary value problems. - José L. López 001; Ester Pérez Sinusía; Nico M. Temme (Appl. Math. Comput., 2009)

Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. - Nico M. Temme; Vladimir Varlamov (J. Comput. Appl. Math., 2009)

Asymptotic Inversion of the Erlang B Formula. - J. S. H. van Leeuwaarden; Nico M. Temme (SIAM J. Appl. Math., 2009)

Computing the Conical Function Pµ-1/2+iTau(x). - Amparo Gil; Javier Segura 001; Nico M. Temme (SIAM J. Sci. Comput., 2009)

Numerical methods. - Nico M. Temme (NIST Handbook of Mathematical Functions, 2010)

Exponential, logarithmic, sine and cosine integrals. - Nico M. Temme (NIST Handbook of Mathematical Functions, 2010)

Error functions, Dawson's and Fresnel integrals. - Nico M. Temme (NIST Handbook of Mathematical Functions, 2010)

Parabolic cylinder functions. - Nico M. Temme (NIST Handbook of Mathematical Functions, 2010)

Analytical and numerical aspects of a generalization of the complementary error function. - Alfredo Deaño; Nico M. Temme (Appl. Math. Comput., 2010)

Computational properties of three-term recurrence relations for Kummer functions. - Alfredo Deaño; Javier Segura 001; Nico M. Temme (J. Comput. Appl. Math., 2010)

Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions. - José L. López 001; Nico M. Temme (Numerische Mathematik, 2010)

Algorithm 914: Parabolic cylinder function W(a, x) and its derivative. - Amparo Gil; Javier Segura 001; Nico M. Temme (ACM Trans. Math. Softw., 2011)

An improved algorithm and a Fortran 90 module for computing the conical function fm-1/2+iτ(x). - Amparo Gil; Javier Segura 001; Nico M. Temme (Comput. Phys. Commun., 2012)

Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios. - Amparo Gil; Javier Segura 001; Nico M. Temme (SIAM J. Sci. Comput., 2012)

New series expansions of the Gauss hypergeometric function. - José L. López 001; Nico M. Temme (Adv. Comput. Math., 2013)

Computation of the Marcum Q-function. - Amparo Gil; Javier Segura 001; Nico M. Temme (CoRR, 2013)

Recent software developments for special functions in the Santander-Amsterdam project. - Amparo Gil; Javier Segura 001; Nico M. Temme (Sci. Comput. Program., 2014)

Algorithm 939: Computation of the Marcum Q-Function. - Amparo Gil; Javier Segura 001; Nico M. Temme (ACM Trans. Math. Softw., 2014)

Computing the Kummer function U(a, b, z) for small values of the arguments. - Amparo Gil; Javier Segura 001; Nico M. Temme (Appl. Math. Comput., 2015)

GammaCHI: A package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). - Amparo Gil; Javier Segura 001; Nico M. Temme (Comput. Phys. Commun., 2015)

Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders. - T. Mark Dunster; Amparo Gil; Javier Segura 001; Nico M. Temme (Numer. Algorithms, 2015)

Computation of the incomplete gamma function for negative values of the argument. - Amparo Gil; Diego Ruiz-Antolín; Javier Segura 001; Nico M. Temme (CoRR, 2016)

Conical : An extended module for computing a numerically satisfactory pair of solutions of the differential equation for conical functions. - T. Mark Dunster; Amparo Gil; Javier Segura 001; Nico M. Temme (Comput. Phys. Commun., 2017)

Efficient computation of Laguerre polynomials. - Amparo Gil; Javier Segura 001; Nico M. Temme (Comput. Phys. Commun., 2017)

Efficient algorithms for the inversion of the cumulative central beta distribution. - Amparo Gil; Javier Segura 001; Nico M. Temme (Numer. Algorithms, 2017)

Algorithm 969: Computation of the Incomplete Gamma Function for Negative Values of the Argument. - Amparo Gil; Diego Ruiz-Antolín; Javier Segura 001; Nico M. Temme (ACM Trans. Math. Softw., 2017)

On the computation and inversion of the cumulative noncentral beta distribution function. - Amparo Gil; Javier Segura 001; Nico M. Temme (Appl. Math. Comput., 2019)

Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. - Amparo Gil; Javier Segura 001; Nico M. Temme (Numerische Mathematik, 2019)

Noniterative Computation of Gauss-Jacobi Quadrature. - Amparo Gil; Javier Segura 001; Nico M. Temme (SIAM J. Sci. Comput., 2019)

Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. - Amparo Gil; Javier Segura 001; Nico M. Temme (CoRR, 2020)

A new asymptotic representation and inversion method for the Student's t distribution. - Amparo Gil; Javier Segura 001; Nico M. Temme (CoRR, 2020)

Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis. - Amparo Gil; Javier Segura 001; Nico M. Temme (J. Comput. Appl. Math., 2020)

GammaCHI: A package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). New version announcement. - Amparo Gil; Javier Segura 001; Nico M. Temme (Comput. Phys. Commun., 2021)

Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature. - Amparo Gil; Javier Segura 001; Nico M. Temme (Numer. Algorithms, 2021)

Complete asymptotic expansions for the relativistic Fermi-Dirac integral. - Amparo Gil; Javier Segura 001; Nico M. Temme (Appl. Math. Comput., 2022)

Solution of integrals with fractional Brownian motion for different Hurst indices. - Fei Gao; Shuaiqiang Liu; Cornelis W. Oosterlee; Nico M. Temme (CoRR, 2022)

A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation. - Swaine L. Chen; Nico M. Temme (Math. Comput., 2022)

Computation of the Confluent Hypergeometric Function M(a, b, x). - Amparo Gil; Diego Ruiz-Antolín; Javier Segura 001; Nico M. Temme (NUMTA (2), 2023)

Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters. - Amparo Gil; Andrzej Odrzywolek; Javier Segura 001; Nico M. Temme (Comput. Phys. Commun., 2023)

Evaluation of integrals with fractional Brownian motion for different Hurst indices. - Fei Gao; Shuaiqiang Liu; Cornelis W. Oosterlee; Nico M. Temme (Int. J. Comput. Math., 2023)

Computation of the confluent hypergeometric function U(a,b,x) and its derivative for positive arguments. - Amparo Gil; Diego Ruiz-Antolín; Javier Segura 001; Nico M. Temme (Numer. Algorithms, 2023)

Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters. New version announcement. - Amparo Gil; Andrzej Odrzywolek; Javier Segura 001; Nico M. Temme (Comput. Phys. Commun., 2025)

A numerical algorithm for the computation of the noncentral beta distribution function. - Vera Egorova; Amparo Gil; Javier Segura 001; Nico M. Temme (Numer. Algorithms, 2025)