Edit Profile (opens in new tab) Temme, Nico M. Compute Distance To: Compute Author ID: temme.nico-m Published as: Temme, Nico M.; Temme, N. M.; Temme, Nico more...less External Links: MGP Documents Indexed: 173 Publications since 1970, including 18 Books 5 Contributions as Editor Reviewing Activity: 240 Reviews Biographic References: 1 Publication Co-Authors: 55 Co-Authors with 103 Joint Publications 911 Co-Co-Authors all top 5 Co-Authors 70 single-authored 50 Segura, Javier 47 Gil, Amparo 19 López, José Luis 6 Pérez Sinusía, Ester 4 Deaño, Alfredo 3 Driver, Kathy A. 2 Dehesa, Jesús S. 2 Dunster, T. M. 2 Dzhaparidze, Kacha 2 Groeneboom, Piet 2 Sazhin, Sergei S. 2 Toranzo, Irene V. 2 van Leeuwaarden, Johan S. H. 2 Veling, E. J. M. 2 Vidunas, Raimundas 1 Apt, Krzysztof Rafal 1 Arrayás, Manuel 1 Brusset, Xavier 1 Carteret, Hilary A. 1 Chaudhry, Muhammad Aslam 1 Chelluri, R. 1 Chen, Swaine L. 1 Coolen, T. M. T. 1 de Groen, Pieter P. N. 1 de Jager, Eduard M. 1 de Vogelaere, R. J. 1 Diekmann, Odo 1 Dijkhuis, B. 1 Ebert, Ute 1 Fagan, William F. 1 Ferreira, Chelo 1 Gautschi, Walter 1 Harris, Frank E. 1 Huisman, Jef 1 Keitt, Timothy H. 1 Lalley, Steven P. 1 Langendijk, A. 1 Maas, Leo R. M. 1 Mainar, Esmeralda 1 Noble, Andrew E. 1 Puertas-Centeno, David 1 Richmond, Bruce 1 Richmond, L. Bruce 1 Ruiz-Antolín, Diego 1 Sanders, James B. T. 1 Schrijver, Alexander 1 Sommeijer, Ben P. 1 Sumner, A. E. 1 van den Brink, Wulfert P. 1 van der Houwen, Pieter J. 1 van der Laan, C. G. 1 van Tiggelen, Bart A. 1 Varlamov, Vladimir V. 1 Vitalis, F. 1 Zimmerman, Joseph T. F. 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 SIAM Journal on Mathematical Analysis 6 Studies in Applied Mathematics 6 Numerical Algorithms 5 Journal of Computational Physics 5 Applied Mathematics and Computation 5 Numerische Mathematik 4 Computer Physics Communications 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 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 all top 5 Fields 116 Special functions (33-XX) 77 Numerical analysis (65-XX) 71 Approximations and expansions (41-XX) 14 Functions of a complex variable (30-XX) 11 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 8 Number theory (11-XX) 8 Statistics (62-XX) 6 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Sequences, series, summability (40-XX) 4 Optics, electromagnetic theory (78-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 139 Publications have been cited 1,260 times in 843 Documents Cited by ▼ Year ▼ Special functions. An introduction to the classical functions of mathematical physics. Zbl 0856.33001Temme, Nico M. 159 1996 Numerical methods for special functions. Zbl 1144.65016Gil, Amparo; Segura, Javier; Temme, Nico M. 112 2007 Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters. Zbl 0863.33002Temme, N. M. 110 1996 The asymptotic expansion of the incomplete gamma functions. Zbl 0412.33001Temme, N. M. 34 1979 Asymptotic methods for integrals. Zbl 1312.41002Temme, Nico M. 32 2015 Asymptotic estimates of Stirling numbers. Zbl 0784.11007Temme, N. M. 30 1993 Large parameter cases of the Gauss hypergeometric function. Zbl 1019.33003Temme, Nico M. 28 2003 Critical conditions for phytoplankton blooms. Zbl 1323.92161Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef 28 2001 Two-point Taylor expansions of analytic functions. Zbl 1141.30300López, José L.; Temme, Nico M. 27 2002 Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function. Zbl 0313.33002Temme, N. M. 21 1975 The uniform asymptotic expansion of a class of integrals related to cumulative distribution functions. Zbl 0489.41031Temme, N. M. 20 1982 Numerical and asymptotic aspects of parabolic cylinder functions. Zbl 0966.65023Temme, Nico M. 18 2000 Asymptotics and closed form of a generalized incomplete gamma function. Zbl 0853.33003Chaudhry, M. A.; Temme, N. M.; Veling, E. J. M. 17 1996 Uniform Airy-type expansions of integrals. Zbl 0799.41028Olde Daalhuis, A. B.; Temme, N. M. 15 1994 Efficient and accurate algorithms for the computation and inversion of the incomplete gamma function ratios. Zbl 1259.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 15 2012 The numerical computation of the confluent hypergeometric function U(a,b,z). Zbl 0489.33001Temme, N. M. 14 1983 Uniform asymptotic expansion for a class of polynomials biorthogonal on the unit circle. Zbl 0601.41031Temme, N. M. 14 1986 Asymptotic estimates for Laguerre polynomials. Zbl 0688.33007Temme, N. M. 14 1990 Approximations of orthogonal polynomials in terms of Hermite polynomials. Zbl 0958.33004López, José L.; Temme, Nico M. 14 1999 New series expansions of the Gauss hypergeometric function. Zbl 1276.33006López, José L.; Temme, Nico M. 13 2013 Multi-point Taylor expansions of analytic functions. Zbl 1047.30002López, José L.; Temme, Nico M. 13 2004 Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials. Zbl 0979.33004López, José L.; Temme, Nico M. 12 1999 Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051López, José L.; Pérez Sinusía, Ester; Temme, Nico M. 12 2009 Calculation of special functions: The gamma function, the exponential integrals and error-like functions. Zbl 0547.65007van der Laan, C. G.; Temme, N. M. 11 1984 Numerically satisfactory solutions of hypergeometric recursions. Zbl 1117.33005Gil, Amparo; Segura, Javier; Temme, Nico M. 10 2007 Asymptotic and numerical aspects of the noncentral chi-square distribution. Zbl 0768.62013Temme, N. M. 10 1993 On the numerical evaluation of the modified Bessel function of the third kind. Zbl 0334.65013Temme, N. M. 10 1975 Large degree asymptotics of generalized Bernoulli and Euler polynomials. Zbl 1213.11051López, José Luis; Temme, Nico M. 10 2010 Nonlinear diffusion problems. Zbl 0357.35002 9 1976 The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. Zbl 0990.33010Temme, N. M.; López, J. L. 9 2001 On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 9 2001 Laplace type integrals: Transformation to standard form and uniform asymptotic expansions. Zbl 0581.33001Temme, N. M. 9 1985 Asymptotic estimates for generalized Stirling numbers. Zbl 1093.11504Chelluri, R.; Richmond, L. B.; Temme, N. M. 9 2000 Numerical algorithms for uniform Airy-type asymptotic expansions. Zbl 0886.65012Temme, N. M. 9 1997 On the expansion of confluent hypergeometric functions in terms of Bessel functions. Zbl 0455.33002Temme, N. M. 8 1981 GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Zbl 1345.62012Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2015 Uniform asymptotic expansions of Laplace integrals. Zbl 0541.41036Temme, Nico M. 8 1983 Steepest descent paths for integrals defining the modified Bessel functions of imaginary order. Zbl 0848.33003Temme, N. M. 8 1994 Uniform asymptotic expansions of confluent hypergeometric functions. Zbl 0398.33004Temme, N. M. 8 1978 Asymptotic inversion of the incomplete beta function. Zbl 0755.33002Temme, N. M. 8 1992 Evaluation of the modified Bessel function of the third kind of imaginary orders. Zbl 0996.65026Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2002 An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives. Zbl 0415.65012Temme, N. M. 8 1979 The ABC of hyper recursions. Zbl 1092.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2006 Incomplete Laplace integrals: Uniform asymptotic expansion with application to the incomplete beta function. Zbl 0641.33002Temme, N. M. 7 1987 Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1391.65134Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2018 Asymptotic inversion of incomplete gamma functions. Zbl 0759.33001Temme, N. M. 7 1992 Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2004 Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106Groeneboom, Piet; Lalley, Steven; Temme, Nico 7 2015 Algorithm 939: Computation of the Marcum \(Q\)-function. Zbl 1322.65046Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2014 Analytical methods for a singular perturbation problem in a sector. Zbl 0295.35005Temme, N. M. 7 1975 The tail of the maximum of Brownian motion minus a parabola. Zbl 1244.60052Groeneboom, Piet; Temme, Nico M. 7 2011 Analytical methods for an elliptic singular perturbation problem in a circle. Zbl 1331.35117Temme, N. M. 7 2007 Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002Gautschi, Walter; Harris, F. E.; Temme, N. M. 7 2003 Computing the real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65038Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2006 Uniform asymptotic expansions of a class of integrals in terms of modified Bessel functions, with application to confluent hypergeometric functions. Zbl 0693.41033Temme, N. M. 6 1990 Computing special functions by using quadrature rules. Zbl 1031.65033Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2003 Numerical aspects of special functions. Zbl 1135.65011Temme, Nico M. 6 2007 Efficient computation of Laguerre polynomials. Zbl 1378.65066Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2017 A double integral containing the modified Bessel function: Asymptotics and computation. Zbl 0602.33002Temme, N. M. 5 1986 On polynomials related with Hermite-Padé approximations to the exponential function. Zbl 0913.41012Driver, Kathy A.; Temme, Nico M. 5 1998 Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. Zbl 1182.26019Temme, Nico M.; Varlamov, Vladimir 5 2009 Uniform asymptotic approximation of Fermi-Dirac integrals. Zbl 0707.65008Temme, N. M.; Olde Daalhuis, A. B. 5 1990 Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. Zbl 1072.65024Gil, Amparo; Segura, Javier; Temme, Nico M. 5 2004 Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions. Zbl 1006.41003López, José L.; Temme, Nico M. 5 1999 Numerically satisfactory solutions of Kummer recurrence relations. Zbl 1154.65013Segura, Javier; Temme, Nico M. 5 2008 Uniform asymptotic expansions of integrals: A selection of problems. Zbl 0849.41024Temme, N. M. 5 1995 Computing complex Airy functions by numerical quadrature. Zbl 1012.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 5 2002 Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials. Zbl 1059.33010López, José L.; Temme, Nico M. 5 2004 Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 07127288Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2019 Entropic uncertainty measures for large dimensional hydrogenic systems. Zbl 1373.81430Puertas-Centeno, D.; Temme, N. M.; Toranzo, I. V.; Dehesa, J. S. 4 2017 Noniterative computation of Gauss-Jacobi quadrature. Zbl 1408.33020Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2019 The asymptotic and numerical inversion of the Marcum \(Q\)-function. Zbl 1302.33020Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2014 On the exact shape of the horizontal profile of a topographically rectified tidal flow. Zbl 0652.76010Maas, L. R. M.; Zimmerman, J. T. F.; Temme, N. M. 4 1987 Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2000 Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039Gil, A.; Segura, J.; Temme, N. M. 4 2017 Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion. Zbl 1026.65015Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2003 Uniform asymptotic methods for integrals. Zbl 1296.41028Temme, Nico M. 4 2013 Numerical evaluation of functions arising from transformations of formal series. Zbl 0335.65007Temme, N. M. 4 1975 Symbolic evaluation of coefficients in Airy-type asymptotic expansions. Zbl 1001.65024Vidunas, Raimundas; Temme, Nico M. 4 2002 Identifying minimal and dominant solutions for Kummer recursions. Zbl 1209.33004Deaño, Alfredo; Segura, Javier; Temme, Nico M. 4 2008 Asymptotics and zero distribution of Padé polynomials associated with the exponential function. Zbl 0904.41009Driver, Kathy A.; Temme, Nico M. 3 1998 Analytical methods for a selection of elliptic singular perturbation problems. Zbl 0923.35039Temme, Nico M. 3 1998 Computational aspects of incomplete gamma functions with large complex parameters. Zbl 0821.65006Temme, N. M. 3 1994 Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters. Zbl 1374.33015Temme, N. M.; Toranzo, I. V.; Dehesa, J. S. 3 2017 Asymptotic expansions of Jacobi polynomials for large values of \(\beta\) and of their zeros. Zbl 1393.33011Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2018 Asymptotic expansion of a special integral. Zbl 0671.41023Temme, N. M. 3 1989 Bernoulli polynomials old and new: generalizations and asymptotics. Zbl 1044.11547Temme, N. M. 3 1995 Bernoulli polynomials old and new: Problems in complex analysis and asymptotics. Zbl 0879.11008Temme, N. M. 3 1994 Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions. Zbl 1070.65512Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2002 Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M. 3 2005 Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2009 Analytical methods for a singular perturbation problem. The quarter plane. Zbl 0223.35012Temme, N. M. 3 1971 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 1461.65030Gil, A.; Segura, J.; Temme, N. M. 3 2021 Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions. Zbl 1195.65025López, José Luis; Temme, Nico M. 3 2010 Fast and accurate computation of the Weber parabolic cylinder function \(W(a, x)\). Zbl 1222.65023Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2011 Parabolic cylinder functions: Examples of error bounds for asymptotic expansions. Zbl 1049.33003Temme, Nico M.; Vidunas, Raimundas 3 2003 Traces to Tricomi in recent work on special functions and asymptotics of integrals. Zbl 0597.33001Temme, N. M. 2 1985 Special functions as approximants in uniform asymptotic expansions of integrals; a survey. Zbl 0598.41032Temme, N. M. 2 1985 Recent problems from uniform asymptotic analysis of integrals in particular in connection with Tricomi’s \(\Psi\)-function. Zbl 0967.33003Temme, Nico M. 2 1998 Basic methods for computing special functions. Zbl 1216.65034Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2011 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 1461.65030Gil, A.; Segura, J.; Temme, N. M. 3 2021 Asymptotic computation of classical orthogonal polynomials. Zbl 1460.33010Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2021 Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. Zbl 1450.33007Gil, A.; Segura, J.; Temme, N. M. 1 2020 Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 07127288Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2019 Noniterative computation of Gauss-Jacobi quadrature. Zbl 1408.33020Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2019 On the computation and inversion of the cumulative noncentral beta distribution function. Zbl 1428.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2019 Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1391.65134Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2018 Asymptotic expansions of Jacobi polynomials for large values of \(\beta\) and of their zeros. Zbl 1393.33011Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2018 Efficient computation of Laguerre polynomials. Zbl 1378.65066Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2017 Entropic uncertainty measures for large dimensional hydrogenic systems. Zbl 1373.81430Puertas-Centeno, D.; Temme, N. M.; Toranzo, I. V.; Dehesa, J. S. 4 2017 Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039Gil, A.; Segura, J.; Temme, N. M. 4 2017 Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters. Zbl 1374.33015Temme, N. M.; Toranzo, I. V.; Dehesa, J. S. 3 2017 Algorithm 969: Computation of the incomplete gamma function for negative values of the argument. Zbl 1391.65043Gil, Amparo; Ruiz-Antolín, Diego; Segura, Javier; Temme, Nico M. 1 2017 Asymptotic methods for integrals. Zbl 1312.41002Temme, Nico M. 32 2015 GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Zbl 1345.62012Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2015 Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106Groeneboom, Piet; Lalley, Steven; Temme, Nico 7 2015 Computing the Kummer function \(U\)(a, b, z) for small values of the arguments. Zbl 1410.33008Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2015 Algorithm 939: Computation of the Marcum \(Q\)-function. Zbl 1322.65046Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2014 The asymptotic and numerical inversion of the Marcum \(Q\)-function. Zbl 1302.33020Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2014 New series expansions of the Gauss hypergeometric function. Zbl 1276.33006López, José L.; Temme, Nico M. 13 2013 Uniform asymptotic methods for integrals. Zbl 1296.41028Temme, Nico M. 4 2013 On the computation of moments of the partial non-central chi-square distribution function. Zbl 1340.60145Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2013 Efficient and accurate algorithms for the computation and inversion of the incomplete gamma function ratios. Zbl 1259.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 15 2012 An improved algorithm and a Fortran 90 module for computing the conical function \(P^m_{-1/2+i\tau}(x)\). Zbl 1264.65027Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2012 The tail of the maximum of Brownian motion minus a parabola. Zbl 1244.60052Groeneboom, Piet; Temme, Nico M. 7 2011 Fast and accurate computation of the Weber parabolic cylinder function \(W(a, x)\). Zbl 1222.65023Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2011 Basic methods for computing special functions. Zbl 1216.65034Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2011 Large degree asymptotics of generalized Bessel polynomials. Zbl 1213.33011López, José Luis; Temme, Nico M. 2 2011 Algorithm 914: Parabolic cylinder function \(W(a,x)\) and its derivative. Zbl 1365.65047Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2011 A uniform asymptotic expansion for weighted sums of exponentials. Zbl 1245.62010van Leeuwaarden, J. S. H.; Temme, N. M. 2 2011 A sampling theory for asymmetric communities. Zbl 1405.92299Noble, Andrew E.; Temme, Nico M.; Fagan, William F.; Keitt, Timothy H. 1 2011 Large degree asymptotics of generalized Bernoulli and Euler polynomials. Zbl 1213.11051López, José Luis; Temme, Nico M. 10 2010 Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions. Zbl 1195.65025López, José Luis; Temme, Nico M. 3 2010 The asymptotic inversion of certain cumulative distribution functions. Zbl 1220.65013Gil, Amparo; Segura, Javier; Temme, Nico 2 2010 Computational properties of three-term recurrence relations for Kummer functions. Zbl 1179.65027Deaño, Alfredo; Segura, Javier; Temme, Nico M. 2 2010 Analytical and numerical aspects of a generalization of the complementary error function. Zbl 1195.65024Deaño, Alfredo; Temme, Nico M. 1 2010 Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051López, José L.; Pérez Sinusía, Ester; Temme, Nico M. 12 2009 Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. Zbl 1182.26019Temme, Nico M.; Varlamov, Vladimir 5 2009 Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2009 On modified asymptotic series involving confluent hypergeometric functions. Zbl 1188.33012Deaño, Alfredo; Temme, Nico M. 2 2009 Asymptotic inversion of the Erlang B formula. Zbl 1186.60101van Leeuwaarden, J. S. H.; Temme, N. M. 2 2009 Numerically satisfactory solutions of Kummer recurrence relations. Zbl 1154.65013Segura, Javier; Temme, Nico M. 5 2008 Identifying minimal and dominant solutions for Kummer recursions. Zbl 1209.33004Deaño, Alfredo; Segura, Javier; Temme, Nico M. 4 2008 Numerical methods for special functions. Zbl 1144.65016Gil, Amparo; Segura, Javier; Temme, Nico M. 112 2007 Numerically satisfactory solutions of hypergeometric recursions. Zbl 1117.33005Gil, Amparo; Segura, Javier; Temme, Nico M. 10 2007 Analytical methods for an elliptic singular perturbation problem in a circle. Zbl 1331.35117Temme, N. M. 7 2007 Numerical aspects of special functions. Zbl 1135.65011Temme, Nico M. 6 2007 Optimizing an objective function under a bivariate probability model. Zbl 1114.90046Brusset, Xavier; Temme, Nico M. 2 2007 Asymptotic behaviour of three-dimensional singularly perturbed convection-diffusion problems with discontinuous data. Zbl 1107.35017López, José L.; Sinusía, Ester Pérez; Temme, Nico M. 2 2007 The ABC of hyper recursions. Zbl 1092.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2006 Computing the real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65038Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2006 Algorithm 850: Real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65039Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2006 First order approximation of an elliptic 3D singular perturbation problem. Zbl 1145.35362López, José L.; Sinusía, Ester Pérez; Temme, Nico M. 2 2006 Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M. 3 2005 Evanescence in coined quantum walks. Zbl 1081.82006Carteret, Hilary A.; Richmond, Bruce; Temme, Nico M. 2 2005 Multi-point Taylor expansions of analytic functions. Zbl 1047.30002López, José L.; Temme, Nico M. 13 2004 Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2004 Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. Zbl 1072.65024Gil, Amparo; Segura, Javier; Temme, Nico M. 5 2004 Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials. Zbl 1059.33010López, José L.; Temme, Nico M. 5 2004 Integral representations for computing real parabolic cylinder functions. Zbl 1054.65023Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2004 Large parameter cases of the Gauss hypergeometric function. Zbl 1019.33003Temme, Nico M. 28 2003 Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002Gautschi, Walter; Harris, F. E.; Temme, N. M. 7 2003 Computing special functions by using quadrature rules. Zbl 1031.65033Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2003 Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion. Zbl 1026.65015Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2003 Parabolic cylinder functions: Examples of error bounds for asymptotic expansions. Zbl 1049.33003Temme, Nico M.; Vidunas, Raimundas 3 2003 On the zeros of the Scorer functions. Zbl 1010.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2003 Two-point Taylor expansions of analytic functions. Zbl 1141.30300López, José L.; Temme, Nico M. 27 2002 Evaluation of the modified Bessel function of the third kind of imaginary orders. Zbl 0996.65026Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2002 Computing complex Airy functions by numerical quadrature. Zbl 1012.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 5 2002 Symbolic evaluation of coefficients in Airy-type asymptotic expansions. Zbl 1001.65024Vidunas, Raimundas; Temme, Nico M. 4 2002 Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions. Zbl 1070.65512Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2002 Critical conditions for phytoplankton blooms. Zbl 1323.92161Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef 28 2001 The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. Zbl 0990.33010Temme, N. M.; López, J. L. 9 2001 On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 9 2001 Numerical and asymptotic aspects of parabolic cylinder functions. Zbl 0966.65023Temme, Nico M. 18 2000 Asymptotic estimates for generalized Stirling numbers. Zbl 1093.11504Chelluri, R.; Richmond, L. B.; Temme, N. M. 9 2000 Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2000 Approximations of orthogonal polynomials in terms of Hermite polynomials. Zbl 0958.33004López, José L.; Temme, Nico M. 14 1999 Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials. Zbl 0979.33004López, José L.; Temme, Nico M. 12 1999 Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions. Zbl 1006.41003López, José L.; Temme, Nico M. 5 1999 Zero and pole distribution of diagonal Padé approximants to the exponential function. Zbl 0952.41013Driver, Kathy A.; Temme, Nico M. 2 1999 On polynomials related with Hermite-Padé approximations to the exponential function. Zbl 0913.41012Driver, Kathy A.; Temme, Nico M. 5 1998 Asymptotics and zero distribution of Padé polynomials associated with the exponential function. Zbl 0904.41009Driver, Kathy A.; Temme, Nico M. 3 1998 Analytical methods for a selection of elliptic singular perturbation problems. Zbl 0923.35039Temme, Nico M. 3 1998 Recent problems from uniform asymptotic analysis of integrals in particular in connection with Tricomi’s \(\Psi\)-function. Zbl 0967.33003Temme, Nico M. 2 1998 Numerical algorithms for uniform Airy-type asymptotic expansions. Zbl 0886.65012Temme, N. M. 9 1997 Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets. Zbl 0903.42016Temme, Nico M. 1 1997 Special functions. An introduction to the classical functions of mathematical physics. Zbl 0856.33001Temme, Nico M. 159 1996 Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters. Zbl 0863.33002Temme, N. M. 110 1996 Asymptotics and closed form of a generalized incomplete gamma function. Zbl 0853.33003Chaudhry, M. A.; Temme, N. M.; Veling, E. J. M. 17 1996 Uniform asymptotic expansions of integrals: A selection of problems. Zbl 0849.41024Temme, N. M. 5 1995 Bernoulli polynomials old and new: generalizations and asymptotics. Zbl 1044.11547Temme, N. M. 3 1995 Asymptotics of zeros of incomplete gamma functions. Zbl 0827.33001Temme, N. M. 1 1995 Uniform Airy-type expansions of integrals. Zbl 0799.41028Olde Daalhuis, A. B.; Temme, N. M. 15 1994 Steepest descent paths for integrals defining the modified Bessel functions of imaginary order. Zbl 0848.33003Temme, N. M. 8 1994 Computational aspects of incomplete gamma functions with large complex parameters. Zbl 0821.65006Temme, N. M. 3 1994 Bernoulli polynomials old and new: Problems in complex analysis and asymptotics. Zbl 0879.11008Temme, N. M. 3 1994 Numerical aspects of uniform Airy-type asymptotic expansions. Zbl 0815.65031Temme, N. M. 1 1994 Asymptotic estimates of Stirling numbers. Zbl 0784.11007Temme, N. M. 30 1993 Asymptotic and numerical aspects of the noncentral chi-square distribution. Zbl 0768.62013Temme, N. M. 10 1993 ...and 39 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,022 Authors 71 Temme, Nico M. 49 López, José Luis 47 Segura, Javier 35 Gil, Amparo 22 Pérez Sinusía, Ester 17 Paris, Richard Bruce 16 Dixit, Atul 16 Ferreira, Chelo 16 Pagola, Pedro J. 13 Dehesa, Jesús S. 12 Wong, Roderick Sue-Chuen 11 Deaño, Alfredo 9 Jódar Sanchez, Lucas Antonio 8 Chaudhry, Muhammad Aslam 8 Dunster, T. M. 8 Qi, Feng 8 Sesma, Javier 8 Srivastava, Hari Mohan 7 Driver, Kathy A. 7 Qadir, Asghar 7 Zhao, Yuqiu 6 Corcino, Cristina Bordaje 6 Corcino, Roberto Bagsarsa 6 Karatsuba, Ekaterina Anatol’evna 6 Nemes, Gergő 5 Groeneboom, Piet 5 Huybrechs, Daan 5 Kumar, Rahul 5 Lam, King-Yeung 5 Lou, Yuan 5 Olver, Sheehan Shakiban 5 Palacios, Pablo 5 Ponnusamy, Saminathan 5 Sánchez-Moreno, Pablo 5 Simsek, Yilmaz 5 Varlamov, Vladimir V. 5 Weniger, Ernst Joachim 5 Zaharescu, Alexandru 4 Abad, Julio 4 Ansari, Alireza 4 Bazm, Sohrab 4 Bujanda, Blanca 4 Cortés López, Juan Carlos 4 Dominici, Diego Ernesto 4 Guo, Bai-Ni 4 Hasegawa, Takemitsu 4 Hwang, Hsien-Kuei 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 Sri Ranga, Alagacone 4 Sugiura, Hiroshi 4 Temam, Roger Meyer 4 Toranzo, Irene V. 3 Baricz, Árpád 3 Berndt, Bruce Carl 3 Borrego-Morell, J. 3 Brezinski, Claude 3 Chen, Chaoping 3 Chiccoli, Cesare 3 Diekmann, Odo 3 Gawronski, Wolfgang 3 Jankov Maširević, Dragana 3 Karniadakis, George Em 3 Kuijlaars, Arno B. J. 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 Pedersen, Henrik Laurberg 3 Potier-Ferry, Michel 3 Rajbangshi, Karabi 3 Redivo-Zaglia, Michela 3 Roy, Arindam 3 Slevinsky, Richard Mikaël 3 Swaminathan, Anbhu 3 Tassaddiq, Asifa 3 van Leeuwaarden, Johan S. H. 3 Veling, E. J. M. 3 Vuorinen, Matti Keijo Kustaa 3 Wang, Haiyong 3 Wielonsky, Franck 3 Yáñez, Rafael J. 3 Yang, Zhenhang 3 Zeng, Fanhai 3 Zhou, Jianrong 3 Zimmerman, Joseph T. 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