Guella, J. C.; Jäger, J. Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: the asymptotic approach. (English) Zbl 07791439 Positivity 28, No. 1, Paper No. 4, 14 p. (2024). MSC: 43A35 42A82 42C10 43A85 43A90 33C45 41A05 41A58 PDFBibTeX XMLCite \textit{J. C. Guella} and \textit{J. Jäger}, Positivity 28, No. 1, Paper No. 4, 14 p. (2024; Zbl 07791439) Full Text: DOI arXiv OA License
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
Deaño, Alfredo On the Riemann-Hilbert approach to asymptotics of tronquée solutions of Painlevé I. (English) Zbl 1528.81104 J. Phys. A, Math. Theor. 56, No. 31, Article ID 314001, 31 p. (2023). MSC: 81P73 35Q15 33E17 35B40 41A60 41A58 PDFBibTeX XMLCite \textit{A. Deaño}, J. Phys. A, Math. Theor. 56, No. 31, Article ID 314001, 31 p. (2023; Zbl 1528.81104) Full Text: DOI arXiv
Breden, Maxime A posteriori validation of generalized polynomial chaos expansions. (English) Zbl 07712414 SIAM J. Appl. Dyn. Syst. 22, No. 2, 765-801 (2023). MSC: 37M21 34F05 42C05 41A58 60H35 65P20 65P30 PDFBibTeX XMLCite \textit{M. Breden}, SIAM J. Appl. Dyn. Syst. 22, No. 2, 765--801 (2023; Zbl 07712414) Full Text: DOI arXiv
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
Parmar, Rakesh K.; Milovanović, Gradimir V.; Pogány, Tibor K. Extension of Mathieu series and alternating Mathieu series involving the Neumann function \(Y_{\nu}\). (English) Zbl 07672184 Period. Math. Hung. 86, No. 1, 191-209 (2023). Reviewer: Constantin Niculescu (Craiova) MSC: 33E20 40A30 41A58 PDFBibTeX XMLCite \textit{R. K. Parmar} et al., Period. Math. Hung. 86, No. 1, 191--209 (2023; Zbl 07672184) 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
Qi, Feng Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of pi. (English) Zbl 1525.41014 Demonstr. Math. 55, 710-736 (2022). MSC: 41A58 05A19 11B73 11M06 33B10 PDFBibTeX XMLCite \textit{F. Qi}, Demonstr. Math. 55, 710--736 (2022; Zbl 1525.41014) Full Text: DOI arXiv
De las Penas Castano, Alejandro; Pandey, Badri Vishal Inversion formulas for the \(j\)-function around elliptic points. (English) Zbl 1512.11037 Arch. Math. 119, No. 4, 359-369 (2022). Reviewer: Noburo Ishii (Kyoto) MSC: 11F11 33C05 33E05 41A58 PDFBibTeX XMLCite \textit{A. De las Penas Castano} and \textit{B. V. Pandey}, Arch. Math. 119, No. 4, 359--369 (2022; Zbl 1512.11037) Full Text: DOI arXiv
Irmak, Hüseyin Various operators in relation to fractional order calculus and some of their applications to normalized analytic functions in the open unit disk. (English) Zbl 1502.30005 Turk. J. Math. 46, No. 1, 167-176 (2022). MSC: 30B10 26A33 30A10 PDFBibTeX XMLCite \textit{H. Irmak}, Turk. J. Math. 46, No. 1, 167--176 (2022; Zbl 1502.30005) 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
Gorenflo, Norbert A new addition theorem for cylinder functions. (English) Zbl 1515.33004 Integral Transforms Spec. Funct. 33, No. 6, 485-495 (2022). MSC: 33C10 41A58 41A60 PDFBibTeX XMLCite \textit{N. Gorenflo}, Integral Transforms Spec. Funct. 33, No. 6, 485--495 (2022; Zbl 1515.33004) Full Text: DOI
Nimbran, Amrik Singh; Levrie, Paul; Sofo, Anthony Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\). (English) Zbl 1478.05008 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 23, 23 p. (2022). MSC: 05A10 11B68 11B65 11M06 11Y60 33B15 41A58 PDFBibTeX XMLCite \textit{A. S. Nimbran} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 23, 23 p. (2022; Zbl 1478.05008) 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
Howard, Roy M. Arbitrarily accurate spline based approximations for the hyperbolic tangent function and applications. (English) Zbl 1513.41004 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 215, 59 p. (2021). MSC: 41A15 26A09 26A48 26D07 33B10 41A58 44A10 PDFBibTeX XMLCite \textit{R. M. Howard}, Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 215, 59 p. (2021; Zbl 1513.41004) Full Text: DOI
Iserles, Arieh; Webb, Marcus A differential analogue of Favard’s theorem. (English) Zbl 1500.42010 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 239-263 (2021). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33C45 41A58 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{M. Webb}, Oper. Theory: Adv. Appl. 285, 239--263 (2021; Zbl 1500.42010) Full Text: DOI arXiv
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
Liu, Hongyan; Sheng, Changtao; Wang, Li-Lian; Yuan, Huifang On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for the fractional Allen-Cahn equation. (English) Zbl 1473.65207 J. Sci. Comput. 86, No. 2, Paper No. 19, 28 p. (2021). MSC: 65M60 65M06 65N30 35B50 41A05 41A25 41A58 15B05 26A33 35R11 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Sci. Comput. 86, No. 2, Paper No. 19, 28 p. (2021; Zbl 1473.65207) Full Text: DOI arXiv
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
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L. Orthogonal polynomials, biorthogonal polynomials and spline functions. (English) Zbl 1460.41004 Appl. Comput. Harmon. Anal. 52, 141-164 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A30 41A58 42A38 33C45 65D07 PDFBibTeX XMLCite \textit{S. S. Goh} et al., Appl. Comput. Harmon. Anal. 52, 141--164 (2021; Zbl 1460.41004) 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
Balac, Stéphane; Chupin, Laurent; Martin, Sébastien Computation of the magnetic potential induced by a collection of spherical particles using series expansions. (English) Zbl 1446.65196 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1073-1109 (2020). MSC: 65N99 65N30 65N80 65N15 41-04 41A58 78A30 92C55 35Q92 PDFBibTeX XMLCite \textit{S. Balac} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1073--1109 (2020; Zbl 1446.65196) Full Text: DOI HAL
Breden, Maxime; Kuehn, Christian Computing invariant sets of random differential equations using polynomial chaos. (English) Zbl 1441.37057 SIAM J. Appl. Dyn. Syst. 19, No. 1, 577-618 (2020). Reviewer: Carlo Laing (Auckland) MSC: 37H10 37H05 37M21 37M22 34F05 60H35 41A58 65C30 PDFBibTeX XMLCite \textit{M. Breden} and \textit{C. Kuehn}, SIAM J. Appl. Dyn. Syst. 19, No. 1, 577--618 (2020; Zbl 1441.37057) Full Text: DOI arXiv
Dragomir, Sever Silvestru; Khosrowshahi, Farzad Approximations and inequalities for the exponential beta function. (English) Zbl 1499.26058 J. Inequal. Appl. 2019, Paper No. 256, 19 p. (2019). MSC: 26D07 33B15 41A58 41A30 PDFBibTeX XMLCite \textit{S. S. Dragomir} and \textit{F. Khosrowshahi}, J. Inequal. Appl. 2019, Paper No. 256, 19 p. (2019; Zbl 1499.26058) Full Text: DOI
Wang, Jun-Qing; Guo, Bai-Ni; Qi, Feng Generalizations and applications of Young’s integral inequality by higher order derivatives. (English) Zbl 1499.26197 J. Inequal. Appl. 2019, Paper No. 243, 18 p. (2019). MSC: 26D15 26A51 26D05 26D07 33B10 PDFBibTeX XMLCite \textit{J.-Q. Wang} et al., J. Inequal. Appl. 2019, Paper No. 243, 18 p. (2019; Zbl 1499.26197) 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
Vargas, Antonio R. The Saff-Varga width conjecture and entire functions with simple exponential growth. (English) Zbl 1412.30006 Constr. Approx. 49, No. 2, 307-383 (2019). MSC: 30B10 30D15 PDFBibTeX XMLCite \textit{A. R. Vargas}, Constr. Approx. 49, No. 2, 307--383 (2019; Zbl 1412.30006) 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
Navas-Palencia, Guillermo High-precision computation of the confluent hypergeometric functions via Franklin-Friedman expansion. (English) Zbl 1393.33008 Adv. Comput. Math. 44, No. 3, 841-859 (2018). MSC: 33C15 33F05 41A58 65D20 68W30 PDFBibTeX XMLCite \textit{G. Navas-Palencia}, Adv. Comput. Math. 44, No. 3, 841--859 (2018; Zbl 1393.33008) Full Text: DOI
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
Dunster, T. M. On the order derivatives of Bessel functions. (English) Zbl 1379.33007 Constr. Approx. 46, No. 1, 47-68 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C10 41A60 41A58 PDFBibTeX XMLCite \textit{T. M. Dunster}, Constr. Approx. 46, No. 1, 47--68 (2017; Zbl 1379.33007) Full Text: DOI arXiv
Hok, Julien; Chan, Ron Tat Lung Option pricing with Legendre polynomials. (English) Zbl 1414.91412 J. Comput. Appl. Math. 322, 25-45 (2017). MSC: 91G60 65T50 91G20 42C10 41A58 PDFBibTeX XMLCite \textit{J. Hok} and \textit{R. T. L. Chan}, J. Comput. Appl. Math. 322, 25--45 (2017; Zbl 1414.91412) Full Text: DOI arXiv 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
Sîntămărian, Alina Sharp estimates regarding the remainder of the alternating harmonic series. (English) Zbl 1401.11162 Math. Inequal. Appl. 18, No. 1, 347-352 (2015). MSC: 11Y60 40A05 41A58 41A60 PDFBibTeX XMLCite \textit{A. Sîntămărian}, Math. Inequal. Appl. 18, No. 1, 347--352 (2015; Zbl 1401.11162) Full Text: DOI
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
Kiselev, E. A.; Minin, L. A.; Novikov, I. Ya.; Sitnik, S. M. On the Riesz constants for systems of integer translates. (English. Russian original) Zbl 1319.42028 Math. Notes 96, No. 2, 228-238 (2014); translation from Mat. Zametki 96, No. 2, 239-250 (2014). Reviewer: Ahmed I. Zayed (Chicago) MSC: 42C15 41A58 33E20 PDFBibTeX XMLCite \textit{E. A. Kiselev} et al., Math. Notes 96, No. 2, 228--238 (2014; Zbl 1319.42028); translation from Mat. Zametki 96, No. 2, 239--250 (2014) Full Text: DOI
Booker, Andrew R.; Strömbergsson, Andreas; Then, Holger Bounds and algorithms for the \(K\)-Bessel function of imaginary order. (English) Zbl 1297.33006 LMS J. Comput. Math. 16, 78-108 (2013). MSC: 33C10 26D07 33F05 40H05 41A58 65D20 PDFBibTeX XMLCite \textit{A. R. Booker} et al., LMS J. Comput. Math. 16, 78--108 (2013; Zbl 1297.33006) Full Text: DOI
Nemes, Gergő An explicit formula for the coefficients in Laplace’s method. (English) Zbl 1292.41012 Constr. Approx. 38, No. 3, 471-487 (2013). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 41A58 PDFBibTeX XMLCite \textit{G. Nemes}, Constr. Approx. 38, No. 3, 471--487 (2013; Zbl 1292.41012) Full Text: DOI arXiv
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
Fornberg, Bengt; Weideman, J. A. C. A numerical methodology for the Painlevé equations. (English) Zbl 1220.65092 J. Comput. Phys. 230, No. 15, 5957-5973 (2011). MSC: 65L05 34M55 65L60 PDFBibTeX XMLCite \textit{B. Fornberg} and \textit{J. A. C. Weideman}, J. Comput. Phys. 230, No. 15, 5957--5973 (2011; Zbl 1220.65092) Full Text: DOI Link