Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester New series expansions for the \(\mathcal{H}\)-function of communication theory. (English) Zbl 07765873 Integral Transforms Spec. Funct. 34, No. 12, 879-890 (2023). MSC: 33E20 41A58 41A80 94A99 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Integral Transforms Spec. Funct. 34, No. 12, 879--890 (2023; Zbl 07765873) Full Text: DOI OA License
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Uniform convergent expansions of the error function in terms of elementary functions. (English) Zbl 1515.33002 Mediterr. J. Math. 20, No. 3, Paper No. 117, 10 p. (2023). MSC: 33B20 41A58 41A80 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Mediterr. J. Math. 20, No. 3, Paper No. 117, 10 p. (2023; Zbl 1515.33002) Full Text: DOI
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester A convergent version of Watson’s lemma for double integrals. (English) Zbl 1521.44001 Integral Transforms Spec. Funct. 34, No. 3, 196-210 (2023). MSC: 44A10 41A60 41A58 33F99 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Integral Transforms Spec. Funct. 34, No. 3, 196--210 (2023; Zbl 1521.44001) Full Text: DOI
López, José L.; Pagola, Pedro J.; Palacios, Pablo A convergent and asymptotic Laplace method for integrals. (English) Zbl 1524.41082 J. Comput. Appl. Math. 422, Article ID 114897, 17 p. (2023). MSC: 41A60 33F05 41A58 PDFBibTeX XMLCite \textit{J. L. López} et al., J. Comput. Appl. Math. 422, Article ID 114897, 17 p. (2023; Zbl 1524.41082) Full Text: DOI
Bujanda, Blanca; López, José L.; Pagola, Pedro J.; Palacios, Pablo An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions. (English) Zbl 1518.33011 Result. Math. 77, No. 4, Paper No. 171, 24 p. (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 33E05 33C65 41A58 PDFBibTeX XMLCite \textit{B. Bujanda} et al., Result. Math. 77, No. 4, Paper No. 171, 24 p. (2022; Zbl 1518.33011) Full Text: DOI
López, José L.; Pagola, Pedro J.; Palacios, Pablo New analytic representations of the hypergeometric functions \({}_{p+1}F_p\). (English) Zbl 1520.33001 Constr. Approx. 55, No. 3, 891-917 (2022). MSC: 33C05 41A20 41A58 65D20 PDFBibTeX XMLCite \textit{J. L. López} et al., Constr. Approx. 55, No. 3, 891--917 (2022; Zbl 1520.33001) Full Text: DOI
Bujanda, Blanca; López, José L.; Pagola, Pedro J.; Palacios, Pablo Uniform approximations of the first symmetric elliptic integral in terms of elementary functions. (English) Zbl 1494.33016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 4, 17 p. (2022). Reviewer: Vijay Yadav (Virar) MSC: 33E05 41A58 PDFBibTeX XMLCite \textit{B. Bujanda} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 4, 17 p. (2022; Zbl 1494.33016) Full Text: DOI
López, José L.; Pagola, Pedro J.; Palacios, Pablo Series representations of the Volterra function and the Fransén-Robinson constant. (English) Zbl 1499.33087 J. Approx. Theory 272, Article ID 105641, 14 p. (2021). Reviewer: Faitori Omer Salem (Tripoli) MSC: 33E20 41A58 PDFBibTeX XMLCite \textit{J. L. López} et al., J. Approx. Theory 272, Article ID 105641, 14 p. (2021; Zbl 1499.33087) Full Text: DOI
López, José L.; Palacios, Pablo; Pagola, Pedro J. Uniform convergent expansions of integral transforms. (English) Zbl 1469.41012 Math. Comput. 90, No. 329, 1357-1380 (2021). Reviewer: Neha Malik (New Delhi) MSC: 41A58 33F05 41A80 44A05 PDFBibTeX XMLCite \textit{J. L. López} et al., Math. Comput. 90, No. 329, 1357--1380 (2021; Zbl 1469.41012) Full Text: DOI
López, José L.; Pagola, Pedro J.; Karp, Dmitrii B. Uniformly convergent expansions for the generalized hypergeometric functions \(_{p-1}F_p\) and \(_pF_p\). (English) Zbl 1476.33004 Integral Transforms Spec. Funct. 31, No. 10, 820-837 (2020). Reviewer: István Mező (Nanjing) MSC: 33C20 41A58 41A80 PDFBibTeX XMLCite \textit{J. L. López} et al., Integral Transforms Spec. Funct. 31, No. 10, 820--837 (2020; Zbl 1476.33004) Full Text: DOI arXiv
Ferreira, Chelo; López, José; Pérez Sinusia, Ester Analysis of singular one-dimensional linear boundary value problems using two-point Taylor expansions. (English) Zbl 1463.34093 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 22, 21 p. (2020). MSC: 34B16 34A25 34B05 41A58 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 22, 21 p. (2020; Zbl 1463.34093) Full Text: DOI
Bujanda, Blanca; López, José L.; Pagola, Pedro J. Convergent expansions of the confluent hypergeometric functions in terms of elementary functions. (English) Zbl 1410.33021 Math. Comput. 88, No. 318, 1773-1789 (2019). Reviewer: Richard B. Paris (Dundee) MSC: 33C15 41A58 PDFBibTeX XMLCite \textit{B. Bujanda} et al., Math. Comput. 88, No. 318, 1773--1789 (2019; Zbl 1410.33021) Full Text: DOI
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Uniform representations of the incomplete beta function in terms of elementary functions. (English) Zbl 1406.33002 ETNA, Electron. Trans. Numer. Anal. 48, 450-461 (2018). MSC: 33B20 41A58 41A80 PDFBibTeX XMLCite \textit{C. Ferreira} et al., ETNA, Electron. Trans. Numer. Anal. 48, 450--461 (2018; Zbl 1406.33002) Full Text: Link
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Convergent and asymptotic methods for second-order difference equations with a large parameter. (English) Zbl 1403.39001 Mediterr. J. Math. 15, No. 6, Paper No. 224, 19 p. (2018). MSC: 39A06 41A58 41A60 34B27 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Mediterr. J. Math. 15, No. 6, Paper No. 224, 19 p. (2018; Zbl 1403.39001) Full Text: DOI Link
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions. (English) Zbl 1402.33004 Integral Transforms Spec. Funct. 29, No. 12, 942-954 (2018). MSC: 33C05 41A58 41A80 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Integral Transforms Spec. Funct. 29, No. 12, 942--954 (2018; Zbl 1402.33004) Full Text: DOI Link
Bujanda, Blanca; López, José L.; Pagola, Pedro J. Convergent expansions of the incomplete gamma functions in terms of elementary functions. (English) Zbl 1390.33012 Anal. Appl., Singap. 16, No. 3, 435-448 (2018). MSC: 33B20 41A58 41A80 PDFBibTeX XMLCite \textit{B. Bujanda} et al., Anal. Appl., Singap. 16, No. 3, 435--448 (2018; Zbl 1390.33012) Full Text: DOI
Ferreira, Chelo; López, José L.; Sinusía, Ester Pérez The use of two-point Taylor expansions in singular one-dimensional boundary value problems I. (English) Zbl 1395.34030 J. Math. Anal. Appl. 463, No. 2, 708-725 (2018). MSC: 34B16 34B15 34A25 PDFBibTeX XMLCite \textit{C. Ferreira} et al., J. Math. Anal. Appl. 463, No. 2, 708--725 (2018; Zbl 1395.34030) Full Text: DOI Link
López, José L. Convergent expansions of the Bessel functions in terms of elementary functions. (English) Zbl 1382.33010 Adv. Comput. Math. 44, No. 1, 277-294 (2018). MSC: 33C10 41A58 PDFBibTeX XMLCite \textit{J. L. López}, Adv. Comput. Math. 44, No. 1, 277--294 (2018; Zbl 1382.33010) Full Text: DOI Link
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester On a modification of Olver’s method: a special case. (English) Zbl 1339.34064 Constr. Approx. 43, No. 2, 273-290 (2016). MSC: 34E05 41A58 41A60 34B27 34M03 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Constr. Approx. 43, No. 2, 273--290 (2016; Zbl 1339.34064) Full Text: DOI arXiv Link
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Convergent and asymptotic expansions of solutions of differential equations with a large parameter: Olver cases II and III. (English) Zbl 1337.34057 J. Integral Equations Appl. 27, No. 1, 27-45 (2015). Reviewer: Nicolae Lupa (Timisoara) MSC: 34E05 34A12 34B27 41A58 45D05 47N20 34A30 PDFBibTeX XMLCite \textit{C. Ferreira} et al., J. Integral Equations Appl. 27, No. 1, 27--45 (2015; Zbl 1337.34057) Full Text: DOI Euclid
López, José L.; Pérez Sinusía, Ester New series expansions for the confluent hypergeometric function \(M(a,b,z)\). (English) Zbl 1334.33019 Appl. Math. Comput. 235, 26-31 (2014). MSC: 33C15 PDFBibTeX XMLCite \textit{J. L. López} and \textit{E. Pérez Sinusía}, Appl. Math. Comput. 235, 26--31 (2014; Zbl 1334.33019) Full Text: DOI
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Convergent and asymptotic expansions of solutions of second-order differential equations with a large parameter. (English) Zbl 1300.34028 Anal. Appl., Singap. 12, No. 5, 523-536 (2014). MSC: 34A25 34A12 41A58 41A60 34B27 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Anal. Appl., Singap. 12, No. 5, 523--536 (2014; Zbl 1300.34028) Full Text: DOI
López, José L.; Temme, Nico M. New series expansions of the Gauss hypergeometric function. (English) Zbl 1276.33006 Adv. Comput. Math. 39, No. 2, 349-365 (2013). MSC: 33C05 41A58 41A20 65D20 PDFBibTeX XMLCite \textit{J. L. López} and \textit{N. M. Temme}, Adv. Comput. Math. 39, No. 2, 349--365 (2013; Zbl 1276.33006) Full Text: DOI arXiv
López, J. L.; Sinusía, Ester Pérez Two-point Taylor approximations of the solutions of two-dimensional boundary value problems. (English) Zbl 1245.65097 Appl. Math. Comput. 218, No. 18, 9107-9115 (2012). MSC: 65L10 35C05 35C10 PDFBibTeX XMLCite \textit{J. L. López} and \textit{E. P. Sinusía}, Appl. Math. Comput. 218, No. 18, 9107--9115 (2012; Zbl 1245.65097) Full Text: DOI
López, J. L.; Sinusía, Ester Pérez; Temme, N. M. A three-point Taylor algorithm for three-point boundary value problems. (English) Zbl 1220.34023 J. Differ. Equations 251, No. 1, 26-44 (2011). MSC: 34B05 41A58 34B10 34A25 PDFBibTeX XMLCite \textit{J. L. López} et al., J. Differ. Equations 251, No. 1, 26--44 (2011; Zbl 1220.34023) Full Text: DOI Link
López, José L.; Pagola, Pedro J. An explicit formula for the coefficients of the saddle point method. (English) Zbl 1211.41008 Constr. Approx. 33, No. 2, 145-162 (2011). Reviewer: Lothar Berg (Rostock) MSC: 41A60 41A58 33C65 PDFBibTeX XMLCite \textit{J. L. López} and \textit{P. J. Pagola}, Constr. Approx. 33, No. 2, 145--162 (2011; Zbl 1211.41008) Full Text: DOI
López, José Luis; Pérez Sinusía, Ester; Temme, Nico M. Solving one-dimensional linear boundary value problems by multi-point Taylor polynomials. Applications to special functions. (English) Zbl 1317.34028 López de Silanes, María Cruz (ed.) et al., Tenth international conference Zaragoza-Pau on applied mathematics and statistics, Jaca, Spain, September 15–17, 2008. Zaragoza: Prensas Universitarias de Zaragoza (ISBN 978-84-15031-53-6/pbk). Monografías Matemáticas “García de Galdeano” 35, 181-188 (2010). MSC: 34B05 34A25 41A58 PDFBibTeX XMLCite \textit{J. L. López} et al., Monogr. Mat. García Galdeano 35, 181--188 (2010; Zbl 1317.34028)
López, José L.; Sinusía, Ester Pérez Two-point Taylor expansions and one-dimensional boundary value problems. (English) Zbl 1213.34026 Math. Comput. 79, No. 272, 2103-2115 (2010). Reviewer: Carmen Simerská (Praha) MSC: 34B05 34A25 41A58 PDFBibTeX XMLCite \textit{J. L. López} and \textit{E. P. Sinusía}, Math. Comput. 79, No. 272, 2103--2115 (2010; Zbl 1213.34026) Full Text: DOI
López, José L.; Pérez Sinusía, Ester; Temme, Nico M. Multi-point Taylor approximations in one-dimensional linear boundary value problems. (English) Zbl 1158.65051 Appl. Math. Comput. 207, No. 2, 519-527 (2009). MSC: 65L10 PDFBibTeX XMLCite \textit{J. L. López} et al., Appl. Math. Comput. 207, No. 2, 519--527 (2009; Zbl 1158.65051) Full Text: DOI
López, José L.; Pagola, Pedro J. A simplification of the Laplace method for double integrals. Application to the second Appell function. (English) Zbl 1176.41036 ETNA, Electron. Trans. Numer. Anal. 30, 224-236 (2008). MSC: 41A60 41A58 33C65 PDFBibTeX XMLCite \textit{J. L. López} and \textit{P. J. Pagola}, ETNA, Electron. Trans. Numer. Anal. 30, 224--236 (2008; Zbl 1176.41036) Full Text: EuDML EMIS
Ferreira, Chelo; López, José L.; Pagola, Pedro; Pérez Sinusía, Ester The Laplace’s and steepest descents methods revisited. (English) Zbl 1155.41313 Int. Math. Forum 2, No. 5-8, 297-314 (2007). MSC: 41A60 41A58 33C65 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Int. Math. Forum 2, No. 5--8, 297--314 (2007; Zbl 1155.41313) Full Text: DOI
López, José L.; Temme, Nico M. Multi-point Taylor expansions of analytic functions. (English) Zbl 1047.30002 Trans. Am. Math. Soc. 356, No. 11, 4323-4342 (2004). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 30B10 30E20 40A30 PDFBibTeX XMLCite \textit{J. L. López} and \textit{N. M. Temme}, Trans. Am. Math. Soc. 356, No. 11, 4323--4342 (2004; Zbl 1047.30002) Full Text: DOI arXiv