Edit Profile (opens in new tab) Segura, Javier Compute Distance To: Compute Author ID: segura.javier Published as: Segura, Javier; Segura, J. Further Spellings: Segura Sala, Jose Javier Homepage: https://personales.unican.es/segurajj/ External Links: MGP · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 96 Publications since 1997, including 1 Book 1 Contribution as Editor · 1 Further Contribution Co-Authors: 13 Co-Authors with 79 Joint Publications 206 Co-Co-Authors all top 5 Co-Authors 16 single-authored 71 Gil, Amparo 50 Temme, Nico M. 7 Deaño, Alfredo 6 Dunster, T. M. 2 Ruiz-Antolín, Diego 1 Bartschat, Klaus 1 Bota, Sebastian 1 Brezinski, Claude 1 Carazo, Jose-Maria 1 Conesa, P. 1 del Cano, L. 1 Fernández de Córdoba, Pedro 1 Gautschi, Walter 1 Gómez-Blanco, J. Carlos 1 González-Vélez, Virginia 1 Guan, Xiaoxu 1 Gutiérrez, Luis Miguel 1 Higham, Nicholas J. 1 Jimenez-Moreno, A. 1 Koepf, Wolfram A. 1 Majtner, T. 1 Maluenda, David 1 Marabini, Roberto 1 Melero, R. 1 Mota, João 1 Otón, Joaquin 1 Rancel, Y. 1 Ratis, Yu. L. 1 Rosselló, Josep L. 1 Sameh, Ahmed H. 1 Schneider, Barry I. 1 Sorzano, C. O. S. 1 Spalević, Miodrag M. 1 Verd, Jaume 1 Vilas, J. L. all top 5 Serials 13 Computer Physics Communications 9 ACM Transactions on Mathematical Software 8 Numerical Algorithms 6 Mathematics of Computation 6 Journal of Computational and Applied Mathematics 5 Journal of Mathematical Analysis and Applications 4 Applied Mathematics and Computation 4 Journal of Approximation Theory 4 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Studies in Applied Mathematics 3 SIAM Journal on Scientific Computing 2 Journal of Computational Physics 2 ETNA. Electronic Transactions on Numerical Analysis 2 Analysis and Applications (Singapore) 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Results in Mathematics 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Journal of Inequalities and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 La Gaceta de la Real Sociedad Matemática Española 1 Mathematical Biosciences and Engineering 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Classical Analysis 1 Contemporary Mathematicians 1 Applied Analysis and Optimization all top 5 Fields 88 Special functions (33-XX) 71 Numerical analysis (65-XX) 19 Ordinary differential equations (34-XX) 13 Approximations and expansions (41-XX) 5 Real functions (26-XX) 4 Difference and functional equations (39-XX) 3 Functions of a complex variable (30-XX) 3 Probability theory and stochastic processes (60-XX) 2 Sequences, series, summability (40-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 519 times in 303 Documents Cited by ▼ Year ▼ Numerical methods for special functions. Zbl 1144.65016Gil, Amparo; Segura, Javier; Temme, Nico M. 112 2007 Bounds for ratios of modified Bessel functions and associated Turán-type inequalities. Zbl 1207.33009Segura, Javier 59 2011 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 zeros of special functions from a fixed point method. Zbl 1058.33020Segura, Javier 13 2002 Numerically satisfactory solutions of hypergeometric recursions. Zbl 1117.33005Gil, Amparo; Segura, Javier; Temme, Nico M. 10 2007 Reliable computation of the zeros of solutions of second order linear ODEs using a fourth order method. Zbl 1211.65056Segura, Javier 10 2010 A new type of sharp bounds for ratios of modified Bessel functions. Zbl 1432.33002Ruiz-Antolín, Diego; Segura, Javier 10 2016 On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 9 2001 New inequalities from classical Sturm theorems. Zbl 1065.33004Deaño, Alfredo; Gil, Amparo; Segura, Javier 9 2004 Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros. Zbl 0983.33004Segura, Javier 8 2001 Evaluation of the modified Bessel function of the third kind of imaginary orders. Zbl 0996.65026Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2002 Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2004 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 Interlacing of the zeros of contiguous hypergeometric functions. Zbl 1171.33008Segura, Javier 8 2008 Algorithm 939: Computation of the Marcum \(Q\)-function. Zbl 1322.65046Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2014 Computing the zeros and turning points of solutions of second order homogeneous linear ODEs. Zbl 1056.65049Gil, Amparo; Segura, Javier 7 2003 On bounds for solutions of monotonic first-order difference-differential systems. Zbl 1278.34037Segura, Javier 7 2012 Computation of asymptotic expansions of turning point problems via Cauchy’s integral formula: Bessel functions. Zbl 1386.34107Dunster, T. M.; Gil, A.; Segura, J. 7 2017 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 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 ELF and GNOME: two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders. Zbl 1001.65022Segura, J.; Gil, A. 7 1999 Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions. Zbl 1110.33001Deaño, Alfredo; Segura, Javier 6 2007 Computing special functions by using quadrature rules. Zbl 1031.65033Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2003 Efficient computation of Laguerre polynomials. Zbl 1378.65066Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2017 Computing complex Airy functions by numerical quadrature. Zbl 1012.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 5 2002 Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions. Zbl 1070.65511Gil, Amparo; Segura, Javier 5 2002 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 A code evaluate modified Bessel functions based on the continued fraction method. Zbl 0930.65009Segura, J.; Fernández de Córdoba, P.; Ratis, Yu. L. 5 1997 Numerically satisfactory solutions of Kummer recurrence relations. Zbl 1154.65013Segura, Javier; Temme, Nico M. 5 2008 Evaluation of associated Legendre functions off the cut and parabolic cylinder functions. Zbl 0961.65017Segura, Javier; Gil, Amparo 5 1999 Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039Gil, A.; Segura, J.; Temme, N. M. 4 2017 Noniterative computation of Gauss-Jacobi quadrature. Zbl 1408.33020Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2019 Sharp bounds for cumulative distribution functions. Zbl 1398.60037Segura, Javier 4 2016 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 Identifying minimal and dominant solutions for Kummer recursions. Zbl 1209.33004Deaño, Alfredo; Segura, Javier; Temme, Nico M. 4 2008 Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 07127288Gil, 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 Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions. Zbl 1070.65512Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2002 Computing the complex zeros of special functions. Zbl 1271.65087Segura, Javier 4 2013 Monotonicity properties and bounds for the chi-square and gamma distributions. Zbl 1338.60042Segura, Javier 4 2014 A global Newton method for the zeros of cylinder functions. Zbl 0921.65037Segura, Javier 4 1998 A code to evaluate prolate and oblate spheroidal harmonics. Zbl 0937.65021Gil, A.; Segura, J. 4 1998 Evaluation of Legendre functions of argument greater than one. Zbl 0930.65010Gil, A.; Segura, J. 4 1997 Computing the real zeros of hypergeometric functions. Zbl 1071.33017Gil, Amparo; Koepf, Wolfram; Segura, Javier 4 2004 Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2000 CA3D: A Monte Carlo code to simulate 3D buffered diffusion of ions in sub-membrane domains. Zbl 1038.82500Gil, Amparo; Segura, Javier 3 2001 The Schwarzian-Newton method for solving nonlinear equations, with applications. Zbl 1355.65068Segura, Javier 3 2017 Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions. Zbl 1404.33007Dunster, T. M.; Gil, A.; Segura, J. 3 2018 On the zeros and turning points of special functions. Zbl 1116.33300Segura, Javier 3 2003 On a conjecture regarding the extrema of Bessel functions and its generalization. Zbl 1018.33005Segura, Javier 3 2003 A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions. Zbl 1024.65039Gil, Amparo; Segura, Javier 3 2003 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 Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation. Zbl 1145.33002Deaño, Alfredo; Segura, Javier 3 2007 A new Fortran 90 program to compute regular and irregular associated Legendre functions. Zbl 1219.65028Schneider, Barry I.; Segura, Javier; Gil, Amparo; Guan, Xiaoxu; Bartschat, Klaus 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 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 Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2009 Computational properties of three-term recurrence relations for Kummer functions. Zbl 1179.65027Deaño, Alfredo; Segura, Javier; Temme, Nico M. 2 2010 Uniform (very) sharp bounds for ratios of parabolic cylinder functions. Zbl 1493.33002Segura, Javier 2 2021 Algorithm 914: Parabolic cylinder function \(W(a,x)\) and its derivative. Zbl 1365.65047Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2011 On the complex zeros of Airy and Bessel functions and those of their derivatives. Zbl 1302.33004Gil, Amparo; Segura, Javier 2 2014 Computing the real zeros of cylinder functions and the roots of the equation \(x{\mathcal C}_{\nu}'(x)+\gamma{\mathcal C}_{\nu}(x)=0\). Zbl 1252.65087Gil, Amparo; Segura, Javier 2 2012 Basic methods for computing special functions. Zbl 1216.65034Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2011 The asymptotic inversion of certain cumulative distribution functions. Zbl 1220.65013Gil, Amparo; Segura, Javier; Temme, Nico 2 2010 Algorithm 850: Real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65039Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2006 Integral representations for computing real parabolic cylinder functions. Zbl 1054.65023Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2004 Parabolic cylinder functions of integer and half-integer orders for nonnegative arguments. Zbl 1001.65021Segura, J.; Gil, A. 2 1998 Evaluation of toroidal harmonics. Zbl 0949.65016Segura, J.; Gil, A. 2 2000 Simplified error bounds for turning point expansions. Zbl 1491.34101Dunster, T. M.; Gil, A.; Segura, J. 2 2021 Electrostatically actuated microbeam resonators as chaotic signal generators: a practical perspective. Zbl 1489.94025Barceló, J.; Rosselló, J. L.; Bota, S.; Segura, J.; Verd, Jaume 1 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 On the zeros of the Scorer functions. Zbl 1010.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2003 Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. Zbl 1450.33007Gil, A.; Segura, J.; Temme, N. M. 1 2020 Asymptotic computation of classical orthogonal polynomials. Zbl 1460.33010Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2021 On the computation and inversion of the cumulative noncentral beta distribution function. Zbl 1428.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2019 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 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 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 Monotonicity properties for ratios and products of modified Bessel functions and sharp trigonometric bounds. Zbl 1492.33004Segura, J. 1 2021 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 Uniform (very) sharp bounds for ratios of parabolic cylinder functions. Zbl 1493.33002Segura, Javier 2 2021 Simplified error bounds for turning point expansions. Zbl 1491.34101Dunster, T. M.; Gil, A.; Segura, J. 2 2021 Asymptotic computation of classical orthogonal polynomials. Zbl 1460.33010Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2021 Monotonicity properties for ratios and products of modified Bessel functions and sharp trigonometric bounds. Zbl 1492.33004Segura, J. 1 2021 Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. Zbl 1450.33007Gil, A.; Segura, J.; Temme, N. M. 1 2020 Noniterative computation of Gauss-Jacobi quadrature. Zbl 1408.33020Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2019 Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 07127288Gil, 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 Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions. Zbl 1404.33007Dunster, T. M.; Gil, A.; Segura, J. 3 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 Computation of asymptotic expansions of turning point problems via Cauchy’s integral formula: Bessel functions. Zbl 1386.34107Dunster, T. M.; Gil, A.; Segura, J. 7 2017 Efficient computation of Laguerre polynomials. Zbl 1378.65066Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2017 Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039Gil, A.; Segura, J.; Temme, N. M. 4 2017 The Schwarzian-Newton method for solving nonlinear equations, with applications. Zbl 1355.65068Segura, Javier 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 A new type of sharp bounds for ratios of modified Bessel functions. Zbl 1432.33002Ruiz-Antolín, Diego; Segura, Javier 10 2016 Sharp bounds for cumulative distribution functions. Zbl 1398.60037Segura, Javier 4 2016 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 Electrostatically actuated microbeam resonators as chaotic signal generators: a practical perspective. Zbl 1489.94025Barceló, J.; Rosselló, J. L.; Bota, S.; Segura, J.; Verd, Jaume 1 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 Monotonicity properties and bounds for the chi-square and gamma distributions. Zbl 1338.60042Segura, Javier 4 2014 On the complex zeros of Airy and Bessel functions and those of their derivatives. Zbl 1302.33004Gil, Amparo; Segura, Javier 2 2014 Computing the complex zeros of special functions. Zbl 1271.65087Segura, Javier 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 On bounds for solutions of monotonic first-order difference-differential systems. Zbl 1278.34037Segura, Javier 7 2012 Computing the real zeros of cylinder functions and the roots of the equation \(x{\mathcal C}_{\nu}'(x)+\gamma{\mathcal C}_{\nu}(x)=0\). Zbl 1252.65087Gil, Amparo; Segura, Javier 2 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 Bounds for ratios of modified Bessel functions and associated Turán-type inequalities. Zbl 1207.33009Segura, Javier 59 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 Algorithm 914: Parabolic cylinder function \(W(a,x)\) and its derivative. Zbl 1365.65047Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2011 Basic methods for computing special functions. Zbl 1216.65034Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2011 Reliable computation of the zeros of solutions of second order linear ODEs using a fourth order method. Zbl 1211.65056Segura, Javier 10 2010 A new Fortran 90 program to compute regular and irregular associated Legendre functions. Zbl 1219.65028Schneider, Barry I.; Segura, Javier; Gil, Amparo; Guan, Xiaoxu; Bartschat, Klaus 3 2010 Computational properties of three-term recurrence relations for Kummer functions. Zbl 1179.65027Deaño, Alfredo; Segura, Javier; Temme, Nico M. 2 2010 The asymptotic inversion of certain cumulative distribution functions. Zbl 1220.65013Gil, Amparo; Segura, Javier; Temme, Nico 2 2010 Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2009 Interlacing of the zeros of contiguous hypergeometric functions. Zbl 1171.33008Segura, Javier 8 2008 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 Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions. Zbl 1110.33001Deaño, Alfredo; Segura, Javier 6 2007 Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation. Zbl 1145.33002Deaño, Alfredo; Segura, Javier 3 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 New inequalities from classical Sturm theorems. Zbl 1065.33004Deaño, Alfredo; Gil, Amparo; Segura, Javier 9 2004 Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025Gil, Amparo; Segura, Javier; Temme, Nico M. 8 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 Computing the real zeros of hypergeometric functions. Zbl 1071.33017Gil, Amparo; Koepf, Wolfram; Segura, Javier 4 2004 Integral representations for computing real parabolic cylinder functions. Zbl 1054.65023Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2004 Computing the zeros and turning points of solutions of second order homogeneous linear ODEs. Zbl 1056.65049Gil, Amparo; Segura, Javier 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 On the zeros and turning points of special functions. Zbl 1116.33300Segura, Javier 3 2003 On a conjecture regarding the extrema of Bessel functions and its generalization. Zbl 1018.33005Segura, Javier 3 2003 A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions. Zbl 1024.65039Gil, Amparo; Segura, Javier 3 2003 On the zeros of the Scorer functions. Zbl 1010.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2003 The zeros of special functions from a fixed point method. Zbl 1058.33020Segura, Javier 13 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 Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions. Zbl 1070.65511Gil, Amparo; Segura, Javier 5 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. 4 2002 On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 9 2001 Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros. Zbl 0983.33004Segura, Javier 8 2001 CA3D: A Monte Carlo code to simulate 3D buffered diffusion of ions in sub-membrane domains. Zbl 1038.82500Gil, Amparo; Segura, Javier 3 2001 Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2000 Evaluation of toroidal harmonics. Zbl 0949.65016Segura, J.; Gil, A. 2 2000 ELF and GNOME: two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders. Zbl 1001.65022Segura, J.; Gil, A. 7 1999 Evaluation of associated Legendre functions off the cut and parabolic cylinder functions. Zbl 0961.65017Segura, Javier; Gil, Amparo 5 1999 A global Newton method for the zeros of cylinder functions. Zbl 0921.65037Segura, Javier 4 1998 A code to evaluate prolate and oblate spheroidal harmonics. Zbl 0937.65021Gil, A.; Segura, J. 4 1998 Parabolic cylinder functions of integer and half-integer orders for nonnegative arguments. Zbl 1001.65021Segura, J.; Gil, A. 2 1998 A code evaluate modified Bessel functions based on the continued fraction method. Zbl 0930.65009Segura, J.; Fernández de Córdoba, P.; Ratis, Yu. L. 5 1997 Evaluation of Legendre functions of argument greater than one. Zbl 0930.65010Gil, A.; Segura, J. 4 1997 all cited Publications top 5 cited Publications all top 5 Cited by 391 Authors 54 Segura, Javier 37 Gil, Amparo 34 Temme, Nico M. 11 Baricz, Árpád 9 Deaño, Alfredo 9 Gaunt, Robert Edward 8 Dunster, T. M. 8 Yang, Zhenhang 6 Jordaan, Kerstin 5 Bremer, James C. 5 Driver, Kathy A. 5 Olver, Sheehan Shakiban 5 Pogány, Tibor K. 4 Bazm, Sohrab 4 Zheng, Shenzhou 3 Huybrechs, Daan 3 Krejčiřík, David 3 López, José Luis 3 Muldoon, Martin E. 3 O’Neil, Michael 3 Rokhlin, Vladimir 3 Toókos, Ferenc 3 Weniger, Ernst Joachim 2 Bisht, Nitin 2 Blanes, Sergio 2 Chu, Yuming 2 Fabijonas, Bruce R. 2 Gardiner, Stephen J. 2 Helsing, Johan 2 Hornik, Kurt 2 Hosseini, Alireza 2 Huertas Cejudo, Edmundo José 2 Ismail, Mourad El-Houssieny 2 Khare, Kshitij 2 Lotoreichik, Vladimir 2 Martínez-Finkelshtein, Andrei 2 Meylahn, Janusz M. 2 Navas-Palencia, Guillermo 2 Nemes, Gergő 2 Ozturk, Okkes 2 Pal, Subhadip 2 Render, Hermann 2 Sabelfeld, Karl Karlovich 2 Silva Ribeiro, Luana L. 2 Singh, Sanjeev 2 Sri Ranga, Alagacone 2 Terekhov, Andrew V. 2 Then, Holger 2 Tian, Jingfeng 2 Trefethen, Lloyd Nicholas 2 Tyaglov, Mikhail 2 Vijesh, V. Antony 2 Weideman, J. André C. 2 Zhu, Ling 1 Abd-Elhameed, Waleed Mohamed 1 Abdeljawad, Thabet 1 Abraham Ibrahim, S. 1 Abrahamsen, Tavis 1 Allamigeon, Xavier 1 AlMheidat, Maalee N. 1 AlQudah, Mohammad A. 1 Álvarez-Nodarse, Renato 1 Alvarez, Alexander 1 Amigó, José María 1 Aminikhah, Hossein 1 Antunes, Pedro Ricardo Simão 1 Ashtekar, Abhay 1 Avelin, Helen 1 Bader, Philipp 1 Barazandeh, Yousef 1 Bardakhchyan, Vardan G. 1 Barnett, Alex H. 1 Barrowclough, Oliver J. D. 1 Bartschat, Klaus 1 Bastardo, J. L. 1 Batenkov, Dmitry 1 Beentjes, Casper H. L. 1 Ben Romdhane, Neila 1 Beylkin, Gregory 1 Bhandari, Piyush Kumar 1 Billant, Paul 1 Bissu, Sushil Kumar 1 Booker, Andrew R. 1 Boom, Pieter D. 1 Boonklurb, Ratinan 1 Borghi, Riccardo 1 Bornemann, Folkmar A. 1 Boyd, John Philip 1 Brezinski, Claude 1 Brimacombe, Chris 1 Bujurke, Nagendrappa M. 1 Bunck, Benjamin F. 1 Buoso, Davide 1 Cao, Shiping 1 Cao, Wanrong 1 Cao, Yanzhao 1 Casas, Fernando 1 Cerfon, Antoine J. 1 Chaabi, Slah 1 Chachuat, Benoît ...and 291 more Authors all top 5 Cited in 119 Serials 24 Journal of Mathematical Analysis and Applications 23 Journal of Computational and Applied Mathematics 13 Journal of Computational Physics 10 Computer Physics Communications 10 Numerische Mathematik 9 Mathematics of Computation 9 Proceedings of the American Mathematical Society 8 Applied Mathematics and Computation 8 Numerical Algorithms 8 Integral Transforms and Special Functions 7 Journal of Approximation Theory 7 Advances in Computational Mathematics 6 Applied Numerical Mathematics 5 BIT 5 Analysis and Applications (Singapore) 4 Journal of Fluid Mechanics 4 Advances in Difference Equations 3 Computers & Mathematics with Applications 3 Results in Mathematics 3 Constructive Approximation 3 SIAM Journal on Mathematical Analysis 3 Indagationes Mathematicae. New Series 3 SIAM Journal on Scientific Computing 3 Journal of Inequalities and Applications 3 Foundations of Computational Mathematics 3 Mediterranean Journal of Mathematics 3 Journal of Classical Analysis 3 International Journal of Applied and Computational Mathematics 2 Inverse Problems 2 ACM Transactions on Mathematical Software 2 Mathematics and Computers in Simulation 2 Studies in Applied Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 SIAM Review 2 Expositiones Mathematicae 2 Discrete and Continuous Dynamical Systems 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Applied Mathematics 2 Waves in Random and Complex Media 2 Electronic Journal of Statistics 2 Journal of Function Spaces 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Metrika 1 Nonlinearity 1 Nuclear Physics. B 1 Annales de l’Institut Fourier 1 Journal of Multivariate Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Physica D 1 Journal of Symbolic Computation 1 Forum Mathematicum 1 Neural Networks 1 European Journal of Applied Mathematics 1 Journal of Global Optimization 1 Computational Statistics 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Statistical Computation and Simulation 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Experimental Mathematics 1 Potential Analysis 1 Test 1 Russian Journal of Mathematical Physics 1 Applied and Computational Harmonic Analysis 1 Filomat 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Convex Analysis 1 Monte Carlo Methods and Applications 1 Bernoulli 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Journal of Mathematical Chemistry 1 The Ramanujan Journal 1 Mathematical Inequalities & Applications 1 Journal of Applied Statistics 1 LMS Journal of Computation and Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Methodology and Computing in Applied Probability 1 Lobachevskii Journal of Mathematics 1 Journal of Evolution Equations 1 Physical Review D. Series III 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Journal of Cosmology and Astroparticle Physics ...and 19 more Serials all top 5 Cited in 37 Fields 174 Special functions (33-XX) 131 Numerical analysis (65-XX) 41 Ordinary differential equations (34-XX) 39 Approximations and expansions (41-XX) 36 Real functions (26-XX) 26 Partial differential equations (35-XX) 25 Probability theory and stochastic processes (60-XX) 23 Functions of a complex variable (30-XX) 23 Statistics (62-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 15 Difference and functional equations (39-XX) 12 Fluid mechanics (76-XX) 11 Integral transforms, operational calculus (44-XX) 8 Number theory (11-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Sequences, series, summability (40-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) Citations by Year