Edit Profile (opens in new tab) Pérez Sinusía, Ester Co-Author Distance Author ID: perez-sinusia.ester Published as: Pérez Sinusía, Ester; Sinusía, Ester Pérez; Pérez Sinusía, E.; Perez Sinusia, Ester; Pérez Sinusia, Ester more...less External Links: ORCID Documents Indexed: 51 Publications since 2004, including 2 Additional arXiv Preprints Co-Authors: 5 Co-Authors with 51 Joint Publications 86 Co-Co-Authors Co-Authors 0 single-authored 51 López, José Luis 30 Ferreira, Chelo 6 Pagola, Pedro J. 6 Temme, Nico M. 2 Navarro, Rafael all top 5 Serials 6 Integral Transforms and Special Functions 5 Journal of Mathematical Analysis and Applications 4 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Studies in Applied Mathematics 3 Mediterranean Journal of Mathematics 2 Journal of Approximation Theory 2 ETNA. Electronic Transactions on Numerical Analysis 2 Carpathian Journal of Mathematics 1 IMA Journal of Applied Mathematics 1 Mathematics of Computation 1 Journal of Differential Equations 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Constructive Approximation 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Difference Equations and Applications 1 The Ramanujan Journal 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Analysis and Applications (Singapore) 1 Complex Variables and Elliptic Equations 1 International Mathematical Forum 1 Journal of Applied Analysis and Computation all top 5 Fields 33 Approximations and expansions (41-XX) 25 Special functions (33-XX) 13 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 5 Numerical analysis (65-XX) 4 Integral equations (45-XX) 3 Functions of a complex variable (30-XX) 3 Operator theory (47-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 124 times in 85 Documents Cited by ▼ Year ▼ Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051 López, José L.; Pérez Sinusía, Ester; Temme, Nico M. 13 2009 A systematization of the saddle point method. Application to the Airy and Hankel functions. Zbl 1163.65013 López, José L.; Pagola, Pedro; Sinusía, Ester Pérez 11 2009 A simplification of Laplace’s method: applications to the gamma function and Gauss hypergeometric function. Zbl 1194.33004 López, José L.; Pagola, Pedro; Pérez Sinusía, E. 10 2009 The Gauss hypergeometric function \(F(a,b;c;z)\) for large \(c\). Zbl 1106.33004 Ferreira, Chelo; López, José L.; Sinusía, Ester Pérez 7 2006 Incomplete gamma functions for large values of their variables. Zbl 1076.33001 Ferreira, Chelo; López, José L.; Sinusía, Ester Pérez 7 2005 The Laplace’s and steepest descents methods revisited. Zbl 1155.41313 Ferreira, Chelo; López, José L.; Pagola, Pedro; Pérez Sinusía, Ester 7 2007 Asymptotic relations between the Hahn-type polynomials and Meixner-Pollaczek, Jacobi, Meixner and Krawtchouk polynomials. Zbl 1151.33007 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 7 2008 Uniform representations of the incomplete beta function in terms of elementary functions. Zbl 1406.33002 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 6 2018 The asymptotic expansion of the swallowtail integral in the highly oscillatory region. Zbl 1428.33042 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 6 2018 Asymptotic approximations for a singularly perturbed convection-diffusion problem with discontinuous data in a sector. Zbl 1107.35048 López, José L.; Pérez Sinusía, Ester 5 2005 Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions. Zbl 1402.33004 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 4 2018 Two-point Taylor expansions and one-dimensional boundary value problems. Zbl 1213.34026 López, José L.; Sinusía, Ester Pérez 4 2010 Convergent and asymptotic expansions of solutions of second-order differential equations with a large parameter. Zbl 1300.34028 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 3 2014 Convergent and asymptotic expansions of solutions of differential equations with a large parameter: Olver cases II and III. Zbl 1337.34057 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 3 2015 New series expansions for the confluent hypergeometric function \(M(a,b,z)\). Zbl 1334.33019 López, José L.; Pérez Sinusía, Ester 3 2014 The swallowtail integral in the highly oscillatory region. II. Zbl 1437.33021 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 3 2020 Asymptotic expansions for two singularly perturbed convection-diffusion problems with discontinuous data: The quarter plane and the infinite strip. Zbl 1141.35365 López, José L.; Sinusía, Ester Pérez 3 2004 First order approximation of an elliptic 3D singular perturbation problem. Zbl 1145.35362 López, José L.; Sinusía, Ester Pérez; Temme, Nico M. 3 2006 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 The third Appell function for one large variable. Zbl 1266.41021 Ferreira, Chelo; López, J. L.; Sinusía, Ester Pérez 3 2013 Analytic approximations for a singularly perturbed convection-diffusion problem with discontinuous data in a half-infinite strip. Zbl 1052.35015 Löpez, José L.; Pérez Sinusía, Ester 2 2004 The swallowtail integral in the highly oscillatory region. III. Zbl 1489.33017 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 2 2022 The role of the error function in a singularly perturbed convection-diffusion problem in a rectangle with corner singularities. Zbl 1174.35032 López, José L.; Pérez Sinusía, Ester 2 2007 New series expansions of the \(_3F_2\) function. Zbl 1300.33009 López, José L.; Pagola, Pedro; Pérez Sinusía, Ester 1 2015 Asymptotics of the first Appell function \(F_1\) with large parameters. Zbl 1280.33013 López, José L.; Pagola, Pedro; Sinusía, Ester Pérez 1 2013 A singular perturbation problem with discontinuous data in a cuboid. Zbl 1168.35309 López, José L.; Sinusía, Ester Pérez 1 2009 On a modification of Olver’s method: a special case. Zbl 1339.34064 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 1 2016 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 Two-point Taylor expansions in the asymptotic approximation of double integrals. Application to the second and fourth Appell functions. Zbl 1131.33007 López, José L.; Sinusía, Ester Pérez 1 2008 Analysis of singular one-dimensional linear boundary value problems using two-point Taylor expansions. Zbl 1463.34093 Ferreira, Chelo; López, José; Pérez Sinusia, Ester 1 2020 The swallowtail integral in the highly oscillatory region. III. Zbl 1489.33017 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 2 2022 The swallowtail integral in the highly oscillatory region. II. Zbl 1437.33021 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 3 2020 Analysis of singular one-dimensional linear boundary value problems using two-point Taylor expansions. Zbl 1463.34093 Ferreira, Chelo; López, José; Pérez Sinusia, Ester 1 2020 Uniform representations of the incomplete beta function in terms of elementary functions. Zbl 1406.33002 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 6 2018 The asymptotic expansion of the swallowtail integral in the highly oscillatory region. Zbl 1428.33042 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 6 2018 Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions. Zbl 1402.33004 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 4 2018 On a modification of Olver’s method: a special case. Zbl 1339.34064 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 1 2016 Convergent and asymptotic expansions of solutions of differential equations with a large parameter: Olver cases II and III. Zbl 1337.34057 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 3 2015 New series expansions of the \(_3F_2\) function. Zbl 1300.33009 López, José L.; Pagola, Pedro; Pérez Sinusía, Ester 1 2015 Convergent and asymptotic expansions of solutions of second-order differential equations with a large parameter. Zbl 1300.34028 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 3 2014 New series expansions for the confluent hypergeometric function \(M(a,b,z)\). Zbl 1334.33019 López, José L.; Pérez Sinusía, Ester 3 2014 The third Appell function for one large variable. Zbl 1266.41021 Ferreira, Chelo; López, J. L.; Sinusía, Ester Pérez 3 2013 Asymptotics of the first Appell function \(F_1\) with large parameters. Zbl 1280.33013 López, José L.; Pagola, Pedro; Sinusía, Ester Pérez 1 2013 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 Two-point Taylor expansions and one-dimensional boundary value problems. Zbl 1213.34026 López, José L.; Sinusía, Ester Pérez 4 2010 Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051 López, José L.; Pérez Sinusía, Ester; Temme, Nico M. 13 2009 A systematization of the saddle point method. Application to the Airy and Hankel functions. Zbl 1163.65013 López, José L.; Pagola, Pedro; Sinusía, Ester Pérez 11 2009 A simplification of Laplace’s method: applications to the gamma function and Gauss hypergeometric function. Zbl 1194.33004 López, José L.; Pagola, Pedro; Pérez Sinusía, E. 10 2009 A singular perturbation problem with discontinuous data in a cuboid. Zbl 1168.35309 López, José L.; Sinusía, Ester Pérez 1 2009 Asymptotic relations between the Hahn-type polynomials and Meixner-Pollaczek, Jacobi, Meixner and Krawtchouk polynomials. Zbl 1151.33007 Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester 7 2008 Two-point Taylor expansions in the asymptotic approximation of double integrals. Application to the second and fourth Appell functions. Zbl 1131.33007 López, José L.; Sinusía, Ester Pérez 1 2008 The Laplace’s and steepest descents methods revisited. Zbl 1155.41313 Ferreira, Chelo; López, José L.; Pagola, Pedro; Pérez Sinusía, Ester 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 The role of the error function in a singularly perturbed convection-diffusion problem in a rectangle with corner singularities. Zbl 1174.35032 López, José L.; Pérez Sinusía, Ester 2 2007 The Gauss hypergeometric function \(F(a,b;c;z)\) for large \(c\). Zbl 1106.33004 Ferreira, Chelo; López, José L.; Sinusía, Ester Pérez 7 2006 First order approximation of an elliptic 3D singular perturbation problem. Zbl 1145.35362 López, José L.; Sinusía, Ester Pérez; Temme, Nico M. 3 2006 Incomplete gamma functions for large values of their variables. Zbl 1076.33001 Ferreira, Chelo; López, José L.; Sinusía, Ester Pérez 7 2005 Asymptotic approximations for a singularly perturbed convection-diffusion problem with discontinuous data in a sector. Zbl 1107.35048 López, José L.; Pérez Sinusía, Ester 5 2005 Asymptotic expansions for two singularly perturbed convection-diffusion problems with discontinuous data: The quarter plane and the infinite strip. Zbl 1141.35365 López, José L.; Sinusía, Ester Pérez 3 2004 Analytic approximations for a singularly perturbed convection-diffusion problem with discontinuous data in a half-infinite strip. Zbl 1052.35015 Löpez, José L.; Pérez Sinusía, Ester 2 2004 all cited Publications top 5 cited Publications all top 5 Cited by 107 Authors 35 López, José Luis 22 Pérez Sinusía, Ester 16 Pagola, Pedro J. 12 Ferreira, Chelo 6 Temme, Nico M. 5 Palacios, Pablo 4 Bujanda, Blanca 3 Luo, Minjie 3 Nemes, Gergő 3 Potier-Ferry, Michel 3 Raina, Ravinder Krishna 2 Area, Iván 2 Dimitrov, Dimitar K. 2 Godoy, Eduardo Paciência 2 Hu, Heng 2 Koutsawa, Yao 2 Lin, Yingzhen 2 Paschoa, Vanessa G. 2 Yang, Jie 1 Bao, Fang 1 Bao, Qi 1 Bastian, Peter 1 Bello Hernández, Manuel 1 Belouettar, Salim 1 Bracciali, Cleonice Fátima 1 Brown, Louis 1 Chen, Lu 1 Chu, Yuming 1 Costabile, Francesco Aldo 1 Crisanto-Neto, J. C. 1 Da Luz, Marcos G. E. 1 da Silva, Jéssica V. 1 Deaño, Alfredo 1 Dehesa, Jesús S. 1 Deng, Dongmei 1 Dumlupinar, Mustafa 1 Ekuni, S. 1 El-Nabulsi, Rami Ahmad 1 Erkuş-Duman, Esra 1 Finner, Helmut 1 Furman, Edward 1 Gontscharuk, Veronika 1 Gracia, José Luis 1 Grinshpan, Arcadii Z. 1 Gu, Xiaosong 1 Guo, Rui 1 Gupta, Vikas 1 Hao, Huiqin 1 Hao, Yonghong 1 Hashorva, Enkelejd 1 Huang, Mei 1 Huang, Qiaobin 1 Huang, TiRen 1 Idutsu, Y. 1 Ippisch, Olaf 1 Jafarov, Elchin I. 1 Jafarova, Aynura M. 1 Kadalbajoo, Mohan K. 1 Knoblauch, Andreas 1 Koornwinder, Tom H. 1 Korshunov, Dmitry Alekseevich 1 Kumano, Hiraku 1 Landwehr, Sandra 1 Li, Dongdong 1 Li, Junlin 1 Liu, Zihan 1 Lukas, Mark A. 1 Luo, Jun 1 Ma, Xiaoyan 1 Madden, Niall 1 Nagiyev, Shakir M. 1 Nakajima, Hideaki 1 Napoli, Anna 1 Ngo, A. Q. T. 1 Niu, Jing 1 Olde Daalhuis, Adri B. 1 Olver, Sheehan Shakiban 1 O’Riordan, Eugene 1 O’Sullivan, Cormac 1 Ouyang, XiaoPing 1 Pearson, John W. 1 Piterbarg, Vladimir Il’ich 1 Porter, Mason Alexander 1 Qiu, Songliang 1 Raposo, Ernesto P. 1 Russel, Stephen 1 Saeed, Umer 1 Sasakura, H. 1 Segura, Javier 1 Shen, Yang 1 Shen, Yongqing 1 Sri Ranga, Alagacone 1 Suemune, I. 1 Tampango, Yendoubouam 1 Tariq, Momna 1 Tu, Jialong 1 Ur Rehman, Mujeeb 1 Viswanathan, Gandhimohan M. 1 Wang, Tongke 1 Willis, Joshua L. ...and 7 more Authors all top 5 Cited in 45 Serials 8 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 5 Integral Transforms and Special Functions 4 Mathematics of Computation 4 Journal of Approximation Theory 4 ETNA. Electronic Transactions on Numerical Analysis 3 Constructive Approximation 3 Numerical Algorithms 3 Engineering Analysis with Boundary Elements 2 Studies in Applied Mathematics 2 Applied Numerical Mathematics 2 The Ramanujan Journal 2 Mediterranean Journal of Mathematics 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Theoretical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Physics Letters. A 1 Hokkaido Mathematical Journal 1 Journal of Differential Equations 1 Journal of Statistical Planning and Inference 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Advances in Applied Mathematics 1 Probability and Mathematical Statistics 1 Numerical Methods for Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Computational Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Bernoulli 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Mathematical Modelling and Analysis 1 Analysis and Applications (Singapore) 1 International Journal of Numerical Analysis and Modeling 1 Complex Variables and Elliptic Equations 1 Tbilisi Mathematical Journal 1 Advances in Mathematical Physics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Mathematical Extension 1 Annalen der Physik 1 Journal of Applied Analysis and Computation all top 5 Cited in 26 Fields 48 Special functions (33-XX) 33 Approximations and expansions (41-XX) 21 Numerical analysis (65-XX) 10 Ordinary differential equations (34-XX) 8 Partial differential equations (35-XX) 5 Real functions (26-XX) 5 Integral transforms, operational calculus (44-XX) 4 Probability theory and stochastic processes (60-XX) 3 Functions of a complex variable (30-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year