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Author ID: temme.nico-m Recent zbMATH articles by "Temme, Nico M."
Published as: Temme, Nico M.; Temme, N. M.; Temme, Nico
External Links: MGP
Documents Indexed: 182 Publications since 1970, including 18 Books and 4 Additional arXiv Preprints
5 Contributions as Editor
Reviewing Activity: 240 Reviews
Biographic References: 1 Publication
Co-Authors: 60 Co-Authors with 111 Joint Publications
1,070 Co-Co-Authors
all top 5

Serials

17 Journal of Computational and Applied Mathematics
8 Journal of Mathematical Analysis and Applications
8 ACM Transactions on Mathematical Software
7 Mathematics of Computation
7 Studies in Applied Mathematics
7 Numerical Algorithms
7 SIAM Journal on Mathematical Analysis
6 Computer Physics Communications
5 Journal of Computational Physics
5 Applied Mathematics and Computation
5 Numerische Mathematik
4 CWI Quarterly
4 MC Syllabus
3 SIAM Journal on Scientific Computing
3 ETNA. Electronic Transactions on Numerical Analysis
3 Methods and Applications of Analysis
2 Astrophysics and Space Science
2 Journal of Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Approximation Theory
2 Indagationes Mathematicae. New Series
2 Integral Transforms and Special Functions
2 Nieuw Archief voor Wiskunde. Vijfde Serie
2 Analysis and Applications (Singapore)
1 Computers & Mathematics with Applications
1 Geophysical and Astrophysical Fluid Dynamics
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 Journal of the Institute of Mathematics and its Applications
1 Bulletin of Mathematical Biology
1 Journal of Differential Equations
1 Quaestiones Mathematicae
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
1 Analysis
1 Statistics & Probability Letters
1 Constructive Approximation
1 Applied Mathematics Letters
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Journal of Physics A: Mathematical and General
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 Applied and Computational Harmonic Analysis
1 Annals of Numerical Mathematics
1 Advances in Computational Mathematics
1 Electronic Communications in Probability
1 Analysis (München)
1 La Gaceta de la Real Sociedad Matemática Española
1 Acta Numerica
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 CWI Tracts
1 Epsilon Uitgaven
1 Series in Analysis
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Theoretical Biology

Publications by Year

Citations contained in zbMATH Open

150 Publications have been cited 1,513 times in 1,023 Documents Cited by Year
Special functions. An introduction to the classical functions of mathematical physics. Zbl 0856.33001
Temme, Nico M.
227
1996
Numerical methods for special functions. Zbl 1144.65016
Gil, Amparo; Segura, Javier; Temme, Nico M.
141
2007
Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters. Zbl 0863.33002
Temme, N. M.
111
1996
Asymptotic methods for integrals. Zbl 1312.41002
Temme, Nico M.
55
2015
The asymptotic expansion of the incomplete gamma functions. Zbl 0412.33001
Temme, N. M.
36
1979
Asymptotic estimates of Stirling numbers. Zbl 0784.11007
Temme, N. M.
33
1993
Large parameter cases of the Gauss hypergeometric function. Zbl 1019.33003
Temme, Nico M.
33
2003
Critical conditions for phytoplankton blooms. Zbl 1323.92161
Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef
31
2001
Two-point Taylor expansions of analytic functions. Zbl 1141.30300
López, José L.; Temme, Nico M.
29
2002
Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function. Zbl 0313.33002
Temme, N. M.
24
1975
Numerical and asymptotic aspects of parabolic cylinder functions. Zbl 0966.65023
Temme, Nico M.
21
2000
The uniform asymptotic expansion of a class of integrals related to cumulative distribution functions. Zbl 0489.41031
Temme, N. M.
20
1982
Asymptotics and closed form of a generalized incomplete gamma function. Zbl 0853.33003
Chaudhry, M. A.; Temme, N. M.; Veling, E. J. M.
19
1996
Efficient and accurate algorithms for the computation and inversion of the incomplete gamma function ratios. Zbl 1259.33006
Gil, Amparo; Segura, Javier; Temme, Nico M.
19
2012
On the numerical evaluation of the modified Bessel function of the third kind. Zbl 0334.65013
Temme, N. M.
17
1975
The numerical computation of the confluent hypergeometric function U(a,b,z). Zbl 0489.33001
Temme, N. M.
16
1983
Uniform Airy-type expansions of integrals. Zbl 0799.41028
Olde Daalhuis, A. B.; Temme, N. M.
15
1994
Approximations of orthogonal polynomials in terms of Hermite polynomials. Zbl 0958.33004
López, José L.; Temme, Nico M.
15
1999
Asymptotic estimates for Laguerre polynomials. Zbl 0688.33007
Temme, N. M.
15
1990
Uniform asymptotic expansion for a class of polynomials biorthogonal on the unit circle. Zbl 0601.41031
Temme, N. M.
14
1986
Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051
López, José L.; Pérez Sinusía, Ester; Temme, Nico M.
14
2009
Multi-point Taylor expansions of analytic functions. Zbl 1047.30002
López, José L.; Temme, Nico M.
13
2004
Large degree asymptotics of generalized Bernoulli and Euler polynomials. Zbl 1213.11051
López, José Luis; Temme, Nico M.
13
2010
New series expansions of the Gauss hypergeometric function. Zbl 1276.33006
López, José L.; Temme, Nico M.
13
2013
Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials. Zbl 0979.33004
López, José L.; Temme, Nico M.
12
1999
Numerically satisfactory solutions of hypergeometric recursions. Zbl 1117.33005
Gil, Amparo; Segura, Javier; Temme, Nico M.
12
2007
An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives. Zbl 0415.65012
Temme, N. M.
11
1979
Calculation of special functions: The gamma function, the exponential integrals and error-like functions. Zbl 0547.65007
van der Laan, C. G.; Temme, N. M.
11
1984
Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1391.65134
Gil, Amparo; Segura, Javier; Temme, Nico M.
11
2018
Numerical algorithms for uniform Airy-type asymptotic expansions. Zbl 0886.65012
Temme, N. M.
10
1997
On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004
Gil, Amparo; Segura, Javier; Temme, Nico M.
10
2001
Uniform asymptotic expansions of confluent hypergeometric functions. Zbl 0398.33004
Temme, N. M.
10
1978
Asymptotic and numerical aspects of the noncentral chi-square distribution. Zbl 0768.62013
Temme, N. M.
9
1993
Asymptotic inversion of the incomplete beta function. Zbl 0755.33002
Temme, N. M.
9
1992
Nonlinear diffusion problems. Zbl 0357.35002
9
1976
Efficient computation of Laguerre polynomials. Zbl 1378.65066
Gil, Amparo; Segura, Javier; Temme, Nico M.
9
2017
GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Zbl 1345.62012
Gil, Amparo; Segura, Javier; Temme, Nico M.
9
2015
The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. Zbl 0990.33010
Temme, N. M.; López, J. L.
9
2001
Asymptotic estimates for generalized Stirling numbers. Zbl 1093.11504
Chelluri, R.; Richmond, L. B.; Temme, N. M.
9
2000
Incomplete Laplace integrals: Uniform asymptotic expansion with application to the incomplete beta function. Zbl 0641.33002
Temme, N. M.
9
1987
Laplace type integrals: Transformation to standard form and uniform asymptotic expansions. Zbl 0581.33001
Temme, N. M.
9
1985
Computing the real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65038
Gil, Amparo; Segura, Javier; Temme, Nico M.
9
2006
Evaluation of the modified Bessel function of the third kind of imaginary orders. Zbl 0996.65026
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2002
Steepest descent paths for integrals defining the modified Bessel functions of imaginary order. Zbl 0848.33003
Temme, N. M.
8
1994
Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 07127288
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2019
Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2004
Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002
Gautschi, Walter; Harris, F. E.; Temme, N. M.
8
2003
On the expansion of confluent hypergeometric functions in terms of Bessel functions. Zbl 0455.33002
Temme, N. M.
8
1981
The ABC of hyper recursions. Zbl 1092.33004
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2006
Uniform asymptotic expansions of Laplace integrals. Zbl 0541.41036
Temme, Nico M.
8
1983
Asymptotic inversion of incomplete gamma functions. Zbl 0759.33001
Temme, N. M.
7
1992
Computing complex Airy functions by numerical quadrature. Zbl 1012.33001
Gil, Amparo; Segura, Javier; Temme, Nico M.
7
2002
Uniform asymptotic expansions of integrals: A selection of problems. Zbl 0849.41024
Temme, N. M.
7
1995
Noniterative computation of Gauss-Jacobi quadrature. Zbl 1408.33020
Gil, Amparo; Segura, Javier; Temme, Nico M.
7
2019
Analytical methods for a singular perturbation problem in a sector. Zbl 0295.35005
Temme, N. M.
7
1975
Computing special functions by using quadrature rules. Zbl 1031.65033
Gil, Amparo; Segura, Javier; Temme, Nico M.
7
2003
Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106
Groeneboom, Piet; Lalley, Steven; Temme, Nico
7
2015
Numerical aspects of special functions. Zbl 1135.65011
Temme, Nico M.
7
2007
Analytical methods for an elliptic singular perturbation problem in a circle. Zbl 1331.35117
Temme, N. M.
7
2007
The tail of the maximum of Brownian motion minus a parabola. Zbl 1244.60052
Groeneboom, Piet; Temme, Nico M.
7
2011
Uniform asymptotic expansions of a class of integrals in terms of modified Bessel functions, with application to confluent hypergeometric functions. Zbl 0693.41033
Temme, N. M.
7
1990
Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials. Zbl 1059.33010
López, José L.; Temme, Nico M.
6
2004
Entropic uncertainty measures for large dimensional hydrogenic systems. Zbl 1373.81430
Puertas-Centeno, D.; Temme, N. M.; Toranzo, I. V.; Dehesa, J. S.
6
2017
Uniform asymptotic methods for integrals. Zbl 1296.41028
Temme, Nico M.
6
2013
Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. Zbl 1182.26019
Temme, Nico M.; Varlamov, Vladimir
6
2009
Numerically satisfactory solutions of Kummer recurrence relations. Zbl 1154.65013
Segura, Javier; Temme, Nico M.
6
2008
Algorithm 939: Computation of the Marcum \(Q\)-function. Zbl 1322.65046
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2014
Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions. Zbl 1006.41003
López, José L.; Temme, Nico M.
5
1999
Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2000
Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion. Zbl 1026.65015
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2003
On polynomials related with Hermite-Padé approximations to the exponential function. Zbl 0913.41012
Driver, Kathy A.; Temme, Nico M.
5
1998
Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. Zbl 1072.65024
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2004
Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions. Zbl 1070.65512
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2002
Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039
Gil, A.; Segura, J.; Temme, N. M.
5
2017
First order approximation of an elliptic 3D singular perturbation problem. Zbl 1145.35362
López, José L.; Sinusía, Ester Pérez; Temme, Nico M.
5
2006
A double integral containing the modified Bessel function: Asymptotics and computation. Zbl 0602.33002
Temme, N. M.
5
1986
Uniform asymptotic approximation of Fermi-Dirac integrals. Zbl 0707.65008
Temme, N. M.; Olde Daalhuis, A. B.
5
1990
Symbolic evaluation of coefficients in Airy-type asymptotic expansions. Zbl 1001.65024
Vidunas, Raimundas; Temme, Nico M.
4
2002
Computational aspects of incomplete gamma functions with large complex parameters. Zbl 0821.65006
Temme, N. M.
4
1994
Bernoulli polynomials old and new: generalizations and asymptotics. Zbl 1044.11547
Temme, N. M.
4
1995
Numerical evaluation of functions arising from transformations of formal series. Zbl 0335.65007
Temme, N. M.
4
1975
The asymptotic and numerical inversion of the Marcum \(Q\)-function. Zbl 1302.33020
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2014
On the exact shape of the horizontal profile of a topographically rectified tidal flow. Zbl 0652.76010
Maas, L. R. M.; Zimmerman, J. T. F.; Temme, N. M.
4
1987
Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters. Zbl 1374.33015
Temme, N. M.; Toranzo, I. V.; Dehesa, J. S.
4
2017
Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2009
Fast and accurate computation of the Weber parabolic cylinder function \(W(a, x)\). Zbl 1222.65023
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2011
Identifying minimal and dominant solutions for Kummer recursions. Zbl 1209.33004
Deaño, Alfredo; Segura, Javier; Temme, Nico M.
4
2008
Analytical methods for a singular perturbation problem. The quarter plane. Zbl 0223.35012
Temme, N. M.
3
1971
Integral representations for computing real parabolic cylinder functions. Zbl 1054.65023
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2004
Bernoulli polynomials old and new: Problems in complex analysis and asymptotics. Zbl 0879.11008
Temme, N. M.
3
1994
On the numerical evaluation of the ordinary Bessel function of the second kind. Zbl 0326.65012
Temme, N. M.
3
1976
Asymptotic expansions of Jacobi polynomials for large values of \(\beta\) and of their zeros. Zbl 1393.33011
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2018
Analytical methods for a selection of elliptic singular perturbation problems. Zbl 0923.35039
Temme, Nico M.
3
1998
Asymptotics and zero distribution of Padé polynomials associated with the exponential function. Zbl 0904.41009
Driver, Kathy A.; Temme, Nico M.
3
1998
Evanescence in coined quantum walks. Zbl 1081.82006
Carteret, Hilary A.; Richmond, Bruce; Temme, Nico M.
3
2005
Parabolic cylinder functions: Examples of error bounds for asymptotic expansions. Zbl 1049.33003
Temme, Nico M.; Vidunas, Raimundas
3
2003
Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018
Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M.
3
2005
Algorithm 914: Parabolic cylinder function \(W(a,x)\) and its derivative. Zbl 1365.65047
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2011
Asymptotic expansion of a special integral. Zbl 0671.41023
Temme, N. M.
3
1989
Polynomial asymptotic estimates of Gegenbauer, Laguerre, and Jacobi polynomials. Zbl 0704.33009
Temme, Nico M.
3
1990
Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters. Zbl 07693413
Gil, Amparo; Odrzywołek, Andrzej; Segura, Javier; Temme, Nico M.
1
2023
A new asymptotic representation and inversion method for the Student’s \(t\) distribution. Zbl 07566915
Gil, A.; Segura, J.; Temme, N. M.
2
2022
Asymptotic expansions of Kummer hypergeometric functions with three asymptotic parameters \(a\), \(b\) and \(z\). Zbl 1502.33003
Temme, N. M.; Veling, E. J. M.
2
2022
Complete asymptotic expansions for the relativistic Fermi-Dirac integral. Zbl 1510.41013
Gil, A.; Segura, J.; Temme, N. M.
2
2022
Asymptotic expansions of Jacobi polynomials and of the nodes and weights of Gauss-Jacobi quadrature for large degree and parameters in terms of elementary functions. Zbl 1461.65030
Gil, A.; Segura, J.; Temme, N. M.
3
2021
Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature. Zbl 1472.65033
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2021
Asymptotic computation of classical orthogonal polynomials. Zbl 1460.33010
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2021
Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis. Zbl 1493.65045
Gil, A.; Segura, J.; Temme, N. M.
1
2020
Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. Zbl 1450.33007
Gil, A.; Segura, J.; Temme, N. M.
1
2020
Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 07127288
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2019
Noniterative computation of Gauss-Jacobi quadrature. Zbl 1408.33020
Gil, Amparo; Segura, Javier; Temme, Nico M.
7
2019
On the computation and inversion of the cumulative noncentral beta distribution function. Zbl 1428.33001
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2019
Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1391.65134
Gil, Amparo; Segura, Javier; Temme, Nico M.
11
2018
Asymptotic expansions of Jacobi polynomials for large values of \(\beta\) and of their zeros. Zbl 1393.33011
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2018
Efficient computation of Laguerre polynomials. Zbl 1378.65066
Gil, Amparo; Segura, Javier; Temme, Nico M.
9
2017
Entropic uncertainty measures for large dimensional hydrogenic systems. Zbl 1373.81430
Puertas-Centeno, D.; Temme, N. M.; Toranzo, I. V.; Dehesa, J. S.
6
2017
Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039
Gil, A.; Segura, J.; Temme, N. M.
5
2017
Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters. Zbl 1374.33015
Temme, N. M.; Toranzo, I. V.; Dehesa, J. S.
4
2017
Algorithm 969: Computation of the incomplete gamma function for negative values of the argument. Zbl 1391.65043
Gil, Amparo; Ruiz-Antolín, Diego; Segura, Javier; Temme, Nico M.
1
2017
Asymptotic methods for integrals. Zbl 1312.41002
Temme, Nico M.
55
2015
GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Zbl 1345.62012
Gil, Amparo; Segura, Javier; Temme, Nico M.
9
2015
Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106
Groeneboom, Piet; Lalley, Steven; Temme, Nico
7
2015
Computing the Kummer function \(U\)(a, b, z) for small values of the arguments. Zbl 1410.33008
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2015
Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders. Zbl 1311.65024
Dunster, T. M.; Gil, A.; Segura, J.; Temme, N. M.
1
2015
Algorithm 939: Computation of the Marcum \(Q\)-function. Zbl 1322.65046
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2014
The asymptotic and numerical inversion of the Marcum \(Q\)-function. Zbl 1302.33020
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2014
New series expansions of the Gauss hypergeometric function. Zbl 1276.33006
López, José L.; Temme, Nico M.
13
2013
Uniform asymptotic methods for integrals. Zbl 1296.41028
Temme, Nico M.
6
2013
On the computation of moments of the partial non-central chi-square distribution function. Zbl 1340.60145
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2013
In memoriam: Nicolaas Govert de Bruijn (1918–2012). Asymptotic methods. Zbl 1294.01068
Temme, Nico
1
2013
Efficient and accurate algorithms for the computation and inversion of the incomplete gamma function ratios. Zbl 1259.33006
Gil, Amparo; Segura, Javier; Temme, Nico M.
19
2012
An improved algorithm and a Fortran 90 module for computing the conical function \(P^m_{-1/2+i\tau}(x)\). Zbl 1264.65027
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2012
The tail of the maximum of Brownian motion minus a parabola. Zbl 1244.60052
Groeneboom, Piet; Temme, Nico M.
7
2011
Fast and accurate computation of the Weber parabolic cylinder function \(W(a, x)\). Zbl 1222.65023
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2011
Algorithm 914: Parabolic cylinder function \(W(a,x)\) and its derivative. Zbl 1365.65047
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2011
A uniform asymptotic expansion for weighted sums of exponentials. Zbl 1245.62010
van Leeuwaarden, J. S. H.; Temme, N. M.
3
2011
Large degree asymptotics of generalized Bessel polynomials. Zbl 1213.33011
López, José Luis; Temme, Nico M.
2
2011
Basic methods for computing special functions. Zbl 1216.65034
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2011
A sampling theory for asymmetric communities. Zbl 1405.92299
Noble, Andrew E.; Temme, Nico M.; Fagan, William F.; Keitt, Timothy H.
1
2011
A three-point Taylor algorithm for three-point boundary value problems. Zbl 1220.34023
López, J. L.; Sinusía, Ester Pérez; Temme, N. M.
1
2011
Large degree asymptotics of generalized Bernoulli and Euler polynomials. Zbl 1213.11051
López, José Luis; Temme, Nico M.
13
2010
Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions. Zbl 1195.65025
López, José Luis; Temme, Nico M.
3
2010
Computational properties of three-term recurrence relations for Kummer functions. Zbl 1179.65027
Deaño, Alfredo; Segura, Javier; Temme, Nico M.
2
2010
The asymptotic inversion of certain cumulative distribution functions. Zbl 1220.65013
Gil, Amparo; Segura, Javier; Temme, Nico
2
2010
Analytical and numerical aspects of a generalization of the complementary error function. Zbl 1195.65024
Deaño, Alfredo; Temme, Nico M.
1
2010
Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051
López, José L.; Pérez Sinusía, Ester; Temme, Nico M.
14
2009
Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. Zbl 1182.26019
Temme, Nico M.; Varlamov, Vladimir
6
2009
Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2009
On modified asymptotic series involving confluent hypergeometric functions. Zbl 1188.33012
Deaño, Alfredo; Temme, Nico M.
2
2009
Asymptotic inversion of the Erlang B formula. Zbl 1186.60101
van Leeuwaarden, J. S. H.; Temme, N. M.
2
2009
Numerically satisfactory solutions of Kummer recurrence relations. Zbl 1154.65013
Segura, Javier; Temme, Nico M.
6
2008
Identifying minimal and dominant solutions for Kummer recursions. Zbl 1209.33004
Deaño, Alfredo; Segura, Javier; Temme, Nico M.
4
2008
Numerical methods for special functions. Zbl 1144.65016
Gil, Amparo; Segura, Javier; Temme, Nico M.
141
2007
Numerically satisfactory solutions of hypergeometric recursions. Zbl 1117.33005
Gil, Amparo; Segura, Javier; Temme, Nico M.
12
2007
Numerical aspects of special functions. Zbl 1135.65011
Temme, Nico M.
7
2007
Analytical methods for an elliptic singular perturbation problem in a circle. Zbl 1331.35117
Temme, N. M.
7
2007
Asymptotic behaviour of three-dimensional singularly perturbed convection-diffusion problems with discontinuous data. Zbl 1107.35017
López, José L.; Sinusía, Ester Pérez; Temme, Nico M.
3
2007
Optimizing an objective function under a bivariate probability model. Zbl 1114.90046
Brusset, Xavier; Temme, Nico M.
2
2007
Computing the real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65038
Gil, Amparo; Segura, Javier; Temme, Nico M.
9
2006
The ABC of hyper recursions. Zbl 1092.33004
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2006
First order approximation of an elliptic 3D singular perturbation problem. Zbl 1145.35362
López, José L.; Sinusía, Ester Pérez; Temme, Nico M.
5
2006
Algorithm 850: Real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65039
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2006
Evanescence in coined quantum walks. Zbl 1081.82006
Carteret, Hilary A.; Richmond, Bruce; Temme, Nico M.
3
2005
Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018
Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M.
3
2005
Multi-point Taylor expansions of analytic functions. Zbl 1047.30002
López, José L.; Temme, Nico M.
13
2004
Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2004
Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials. Zbl 1059.33010
López, José L.; Temme, Nico M.
6
2004
Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. Zbl 1072.65024
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2004
Integral representations for computing real parabolic cylinder functions. Zbl 1054.65023
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2004
Large parameter cases of the Gauss hypergeometric function. Zbl 1019.33003
Temme, Nico M.
33
2003
Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002
Gautschi, Walter; Harris, F. E.; Temme, N. M.
8
2003
Computing special functions by using quadrature rules. Zbl 1031.65033
Gil, Amparo; Segura, Javier; Temme, Nico M.
7
2003
Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion. Zbl 1026.65015
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2003
Parabolic cylinder functions: Examples of error bounds for asymptotic expansions. Zbl 1049.33003
Temme, Nico M.; Vidunas, Raimundas
3
2003
On the zeros of the Scorer functions. Zbl 1010.33001
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2003
Two-point Taylor expansions of analytic functions. Zbl 1141.30300
López, José L.; Temme, Nico M.
29
2002
Evaluation of the modified Bessel function of the third kind of imaginary orders. Zbl 0996.65026
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2002
Computing complex Airy functions by numerical quadrature. Zbl 1012.33001
Gil, Amparo; Segura, Javier; Temme, Nico M.
7
2002
Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions. Zbl 1070.65512
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2002
Symbolic evaluation of coefficients in Airy-type asymptotic expansions. Zbl 1001.65024
Vidunas, Raimundas; Temme, Nico M.
4
2002
Critical conditions for phytoplankton blooms. Zbl 1323.92161
Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef
31
2001
On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004
Gil, Amparo; Segura, Javier; Temme, Nico M.
10
2001
The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. Zbl 0990.33010
Temme, N. M.; López, J. L.
9
2001
Numerical and asymptotic aspects of parabolic cylinder functions. Zbl 0966.65023
Temme, Nico M.
21
2000
Asymptotic estimates for generalized Stirling numbers. Zbl 1093.11504
Chelluri, R.; Richmond, L. B.; Temme, N. M.
9
2000
Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2000
The role of Hermite polynomials in asymptotic analysis. Zbl 1097.33506
Temme, Nico M.; López, José L.
1
2000
Approximations of orthogonal polynomials in terms of Hermite polynomials. Zbl 0958.33004
López, José L.; Temme, Nico M.
15
1999
Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials. Zbl 0979.33004
López, José L.; Temme, Nico M.
12
1999
Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions. Zbl 1006.41003
López, José L.; Temme, Nico M.
5
1999
Zero and pole distribution of diagonal Padé approximants to the exponential function. Zbl 0952.41013
Driver, Kathy A.; Temme, Nico M.
2
1999
On polynomials related with Hermite-Padé approximations to the exponential function. Zbl 0913.41012
Driver, Kathy A.; Temme, Nico M.
5
1998
Analytical methods for a selection of elliptic singular perturbation problems. Zbl 0923.35039
Temme, Nico M.
3
1998
Asymptotics and zero distribution of Padé polynomials associated with the exponential function. Zbl 0904.41009
Driver, Kathy A.; Temme, Nico M.
3
1998
Recent problems from uniform asymptotic analysis of integrals in particular in connection with Tricomi’s \(\Psi\)-function. Zbl 0967.33003
Temme, Nico M.
2
1998
Numerical algorithms for uniform Airy-type asymptotic expansions. Zbl 0886.65012
Temme, N. M.
10
1997
Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets. Zbl 0903.42016
Temme, Nico M.
1
1997
Special functions. An introduction to the classical functions of mathematical physics. Zbl 0856.33001
Temme, Nico M.
227
1996
Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters. Zbl 0863.33002
Temme, N. M.
111
1996
Asymptotics and closed form of a generalized incomplete gamma function. Zbl 0853.33003
Chaudhry, M. A.; Temme, N. M.; Veling, E. J. M.
19
1996
...and 50 more Documents
all top 5

Cited by 1,304 Authors

76 Temme, Nico M.
53 Segura, Javier
52 López, José Luis
28 Gil, Amparo
24 Pérez Sinusía, Ester
20 Qi, Feng
19 Paris, Richard Bruce
18 Dixit, Atul
18 Ferreira, Chelo
17 Pagola, Pedro J.
14 Dehesa, Jesús S.
12 Wong, Roderick Sue-Chuen
11 Deaño, Alfredo
10 Dunster, T. M.
9 Jódar Sanchez, Lucas Antonio
9 Nemes, Gergő
8 Chaudhry, Muhammad Aslam
8 Guo, Bai-Ni
8 Sesma, Javier
8 Srivastava, Hari Mohan
8 Zhao, Yuqiu
7 Corcino, Cristina Bordaje
7 Corcino, Roberto Bagsarsa
7 Driver, Kathy A.
7 Karatsuba, Ekaterina Anatol’evna
7 Olver, Sheehan Shakiban
7 Qadir, Asghar
6 Charlier, Christophe
6 Huybrechs, Daan
6 Kumar, Rahul
6 Lim, Dongkyu
6 Palacios, Pablo
6 Ponnusamy, Saminathan
6 Weniger, Ernst Joachim
5 Ansari, Alireza
5 Bazm, Sohrab
5 Dominici, Diego Ernesto
5 Groeneboom, Piet
5 Hwang, Hsien-Kuei
5 Lam, King-Yeung
5 Lou, Yuan
5 Simsek, Yilmaz
5 Swaminathan, Anbhu
5 Toranzo, Irene V.
5 Varlamov, Vladimir V.
5 Zaharescu, Alexandru
4 Abad, Julio
4 Berry, Michael Victor
4 Bujanda, Blanca
4 Chen, Chaoping
4 Cortés López, Juan Carlos
4 Hasegawa, Takemitsu
4 Jung, Changyeol
4 Koumandos, Stamatis
4 Lether, Frank G.
4 Mei, Linfeng
4 Moll, Victor Hugo
4 Naik, Sunanda
4 Ostrovskii, Dmitrii M.
4 Parmar, Rakesh Kumar
4 Roy, Arindam
4 Slevinsky, Richard Mikaël
4 Sri Ranga, Alagacone
4 Sugiura, Hiroshi
4 Temam, Roger Meyer
3 Ameur, Yacin
3 Askari, Hassan Randjbar
3 Bağcı, Ali
3 Baricz, Árpád
3 Berndt, Bruce Carl
3 Borrego-Morell, Jorge A.
3 Brezinski, Claude
3 Chiccoli, Cesare
3 Choi, Junesang
3 Citterio, Maurizio G.
3 Cronvall, Joakim
3 Diekmann, Odo
3 Hosseini, Alireza
3 Jankov Maširević, Dragana
3 Jiang, Danhua
3 Karniadakis, George Em
3 Kuijlaars, Arno B. J.
3 Lenells, Jonatan
3 Lin, Yingzhen
3 Lorenzutta, S.
3 Maas, Leo R. M.
3 Maino, Giuseppe
3 Martínez-Finkelshtein, Andrei
3 Moreno-Balcázar, Juan José
3 Olde Daalhuis, Adri B.
3 O’Neil, Michael
3 Ou, Chunhua
3 Ozarslan, Mehmet Ali
3 Pedersen, Henrik Laurberg
3 Pogány, Tibor K.
3 Potier-Ferry, Michel
3 Puertas-Centeno, David
3 Rajbangshi, Karabi
3 Redivo-Zaglia, Michela
3 Singh, Sanjeev
...and 1,204 more Authors
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Cited in 317 Serials

106 Journal of Computational and Applied Mathematics
54 Journal of Mathematical Analysis and Applications
30 Applied Mathematics and Computation
25 Computer Physics Communications
23 Journal of Computational Physics
21 Mathematics of Computation
18 Numerical Algorithms
18 Integral Transforms and Special Functions
15 Analysis and Applications (Singapore)
14 Journal of Approximation Theory
13 Numerische Mathematik
12 Computers & Mathematics with Applications
12 Journal of Mathematical Physics
12 Journal of Differential Equations
12 Journal of Physics A: Mathematical and Theoretical
11 Applied Numerical Mathematics
10 Advances in Applied Mathematics
10 Advances in Computational Mathematics
9 Journal of High Energy Physics
8 Journal of Mathematical Biology
8 Proceedings of the American Mathematical Society
8 Journal of Classical Analysis
7 Communications in Mathematical Physics
7 BIT
7 Journal of Number Theory
7 Results in Mathematics
7 Studies in Applied Mathematics
7 Mathematical and Computer Modelling
7 Abstract and Applied Analysis
7 Advances in Difference Equations
6 Advances in Mathematics
6 Applied Mathematics Letters
6 Indagationes Mathematicae. New Series
6 Discrete and Continuous Dynamical Systems
6 The Ramanujan Journal
6 Journal of Statistical Mechanics: Theory and Experiment
5 Journal of Engineering Mathematics
5 Journal of Fluid Mechanics
5 Mathematics and Computers in Simulation
5 Constructive Approximation
5 SIAM Journal on Scientific Computing
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Journal of Applied Mathematics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Research in the Mathematical Sciences
4 Journal of Statistical Physics
4 Mathematical Methods in the Applied Sciences
4 Rocky Mountain Journal of Mathematics
4 ACM Transactions on Mathematical Software
4 The Annals of Statistics
4 Journal of Statistical Planning and Inference
4 SIAM Journal on Numerical Analysis
4 European Journal of Operational Research
4 International Journal of Computer Mathematics
4 ETNA. Electronic Transactions on Numerical Analysis
4 Journal of Difference Equations and Applications
4 Discrete and Continuous Dynamical Systems. Series B
4 Applicable Analysis and Discrete Mathematics
4 Afrika Matematika
3 The Canadian Journal of Statistics
3 European Journal of Physics
3 Journal d’Analyse Mathématique
3 Nuclear Physics. B
3 Problems of Information Transmission
3 Demonstratio Mathematica
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Combinatorial Theory. Series A
3 Mathematische Nachrichten
3 Meccanica
3 Transactions of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Physica D
3 Probability Theory and Related Fields
3 Queueing Systems
3 The Annals of Applied Probability
3 Computational Mathematics and Mathematical Physics
3 Applied and Computational Harmonic Analysis
3 Computational and Applied Mathematics
3 Engineering Analysis with Boundary Elements
3 Electronic Journal of Probability
3 Journal of Inequalities and Applications
3 Annales Henri Poincaré
3 Foundations of Computational Mathematics
3 International Journal of Number Theory
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Journal of Theoretical Biology
3 International Journal of Applied and Computational Mathematics
2 Applicable Analysis
2 Geophysical and Astrophysical Fluid Dynamics
2 Inverse Problems
2 Letters in Mathematical Physics
2 Physica A
2 Physics Letters. A
2 Scandinavian Journal of Statistics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Bulletin of Mathematical Biology
2 Calcolo
2 Information Sciences
2 Journal of Applied Probability
2 Journal of Functional Analysis
...and 217 more Serials
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Cited in 52 Fields

462 Special functions (33-XX)
273 Numerical analysis (65-XX)
200 Approximations and expansions (41-XX)
124 Number theory (11-XX)
106 Partial differential equations (35-XX)
93 Functions of a complex variable (30-XX)
92 Probability theory and stochastic processes (60-XX)
90 Ordinary differential equations (34-XX)
68 Real functions (26-XX)
67 Statistics (62-XX)
60 Harmonic analysis on Euclidean spaces (42-XX)
55 Quantum theory (81-XX)
47 Biology and other natural sciences (92-XX)
41 Integral transforms, operational calculus (44-XX)
39 Combinatorics (05-XX)
32 Statistical mechanics, structure of matter (82-XX)
29 Fluid mechanics (76-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
23 Computer science (68-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Information and communication theory, circuits (94-XX)
18 Difference and functional equations (39-XX)
17 Integral equations (45-XX)
16 Sequences, series, summability (40-XX)
16 Operator theory (47-XX)
15 Optics, electromagnetic theory (78-XX)
13 Dynamical systems and ergodic theory (37-XX)
11 Operations research, mathematical programming (90-XX)
10 Relativity and gravitational theory (83-XX)
9 Functional analysis (46-XX)
9 Mechanics of deformable solids (74-XX)
9 Geophysics (86-XX)
7 Mechanics of particles and systems (70-XX)
6 Systems theory; control (93-XX)
4 History and biography (01-XX)
4 Potential theory (31-XX)
4 Differential geometry (53-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Measure and integration (28-XX)
3 Abstract harmonic analysis (43-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Convex and discrete geometry (52-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Geometry (51-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

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