Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A.; Recarte, Marlon J. Approximation via gradients on the ball. The Zernike case. (English) Zbl 1526.42040 J. Comput. Appl. Math. 430, Article ID 115258, 23 p. (2023). Reviewer: Alexei Lukashov (Moskva) MSC: 42C05 42A20 33C50 42A10 41A30 46E35 PDFBibTeX XMLCite \textit{M. E. Marriaga} et al., J. Comput. Appl. Math. 430, Article ID 115258, 23 p. (2023; Zbl 1526.42040) Full Text: DOI
Opsomer, Peter; Huybrechs, Daan High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions. (English) Zbl 1517.65018 J. Comput. Appl. Math. 434, Article ID 115317, 22 p. (2023). MSC: 65D32 42C05 PDFBibTeX XMLCite \textit{P. Opsomer} and \textit{D. Huybrechs}, J. Comput. Appl. Math. 434, Article ID 115317, 22 p. (2023; Zbl 1517.65018) Full Text: DOI arXiv
Ranjbar, H.; Ghoreishi, F. A Gaussian quadrature rule for Fourier-type highly oscillatory integrals in the presence of stationary points. (English) Zbl 1470.65034 J. Comput. Appl. Math. 395, Article ID 113592, 20 p. (2021). MSC: 65D30 33C47 65D32 34E05 PDFBibTeX XMLCite \textit{H. Ranjbar} and \textit{F. Ghoreishi}, J. Comput. Appl. Math. 395, Article ID 113592, 20 p. (2021; Zbl 1470.65034) Full Text: DOI
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
Lee, K. F.; Wong, R. Asymptotic expansion of the Tricomi-Carlitz polynomials and their zeros. (English) Zbl 1293.41015 J. Comput. Appl. Math. 265, 220-242 (2014). MSC: 41A60 33C45 PDFBibTeX XMLCite \textit{K. F. Lee} and \textit{R. Wong}, J. Comput. Appl. Math. 265, 220--242 (2014; Zbl 1293.41015) Full Text: DOI
Masjed-Jamei, Mohammad On constructing new expansions of functions using linear operators. (English) Zbl 1186.42019 J. Comput. Appl. Math. 234, No. 2, 365-374 (2010). MSC: 42C15 42C20 42B05 42A16 41A58 PDFBibTeX XMLCite \textit{M. Masjed-Jamei}, J. Comput. Appl. Math. 234, No. 2, 365--374 (2010; Zbl 1186.42019) Full Text: DOI
Dominici, Diego Asymptotic analysis of the Bell polynomials by the ray method. (English) Zbl 1180.33007 J. Comput. Appl. Math. 233, No. 3, 708-718 (2009). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 11B73 PDFBibTeX XMLCite \textit{D. Dominici}, J. Comput. Appl. Math. 233, No. 3, 708--718 (2009; Zbl 1180.33007) Full Text: DOI arXiv
Paris, R. B. The asymptotics of the generalised Hermite-Bell polynomials. (English) Zbl 1176.33014 J. Comput. Appl. Math. 232, No. 2, 216-226 (2009). Reviewer: Wolfram Koepf (Kassel) MSC: 33C45 34E05 PDFBibTeX XMLCite \textit{R. B. Paris}, J. Comput. Appl. Math. 232, No. 2, 216--226 (2009; Zbl 1176.33014) Full Text: DOI
Han, Bin; Kwon, Soon-Geol; Zhuang, Xiaosheng Generalized interpolating refinable function vectors. (English) Zbl 1166.65069 J. Comput. Appl. Math. 227, No. 2, 254-270 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65T60 42C40 41A05 42C15 PDFBibTeX XMLCite \textit{B. Han} et al., J. Comput. Appl. Math. 227, No. 2, 254--270 (2009; Zbl 1166.65069) Full Text: DOI
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Asymptotic relations between the Hahn-type polynomials and Meixner-Pollaczek, Jacobi, Meixner and Krawtchouk polynomials. (English) Zbl 1151.33007 J. Comput. Appl. Math. 217, No. 1, 88-109 (2008). Reviewer: Florin Sofonea (Sibiu) MSC: 33C45 41A60 30C15 41A10 PDFBibTeX XMLCite \textit{C. Ferreira} et al., J. Comput. Appl. Math. 217, No. 1, 88--109 (2008; Zbl 1151.33007) Full Text: DOI
Matos, Ana C. Multivariate Frobenius-Padé approximants: properties and algorithms. (English) Zbl 1127.41005 J. Comput. Appl. Math. 202, No. 2, 548-572 (2007). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 33C45 41A20 41A63 42C05 42C10 65F05 65F30 PDFBibTeX XMLCite \textit{A. C. Matos}, J. Comput. Appl. Math. 202, No. 2, 548--572 (2007; Zbl 1127.41005) Full Text: DOI
Zhao, Yu-Qiu; Zhou, Jian-Rong Uniform asymptotic expansions of the Pollaczek polynomials. (English) Zbl 1088.41018 J. Comput. Appl. Math. 190, No. 1-2, 37-56 (2006). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 41A60 33C47 PDFBibTeX XMLCite \textit{Y.-Q. Zhao} and \textit{J.-R. Zhou}, J. Comput. Appl. Math. 190, No. 1--2, 37--56 (2006; Zbl 1088.41018) Full Text: DOI
Xu, Yuan Generalized translation operator and approximation in several variables. (English) Zbl 1083.42023 J. Comput. Appl. Math. 178, No. 1-2, 489-512 (2005). Reviewer: Mariano Gasca (Zaragoza) MSC: 42C15 33C50 41A30 41A63 PDFBibTeX XMLCite \textit{Y. Xu}, J. Comput. Appl. Math. 178, No. 1--2, 489--512 (2005; Zbl 1083.42023) Full Text: DOI arXiv
Ciaurri, Óscar; Varona, Juan L. Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions. (English) Zbl 1084.42021 J. Comput. Appl. Math. 178, No. 1-2, 99-110 (2005). Reviewer: Ferenc Móricz (Szeged) MSC: 42C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{J. L. Varona}, J. Comput. Appl. Math. 178, No. 1--2, 99--110 (2005; Zbl 1084.42021) Full Text: DOI
Ben Cheikh, Y.; Chaggara, H. Connection problems via lowering operators. (English) Zbl 1061.33006 J. Comput. Appl. Math. 178, No. 1-2, 45-61 (2005). MSC: 33C45 41A10 41A58 PDFBibTeX XMLCite \textit{Y. Ben Cheikh} and \textit{H. Chaggara}, J. Comput. Appl. Math. 178, No. 1--2, 45--61 (2005; Zbl 1061.33006) Full Text: DOI
Gu, Chuanqing Matrix Padé-type approximant and directional matrix Padé approximant in the inner product space. (English) Zbl 1050.41012 J. Comput. Appl. Math. 164-165, 365-385 (2004). Reviewer: Eleonora Storozhenko (Odessa) MSC: 41A21 41-06 PDFBibTeX XMLCite \textit{C. Gu}, J. Comput. Appl. Math. 164--165, 365--385 (2004; Zbl 1050.41012) Full Text: DOI
Bultheel, A.; Van Barel, M.; Van gucht, P. Orthogonal basis functions in discrete least-squares rational approximation. (English) Zbl 1046.93010 J. Comput. Appl. Math. 164-165, 175-194 (2004). MSC: 93B30 41A20 65F18 42C15 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 164--165, 175--194 (2004; Zbl 1046.93010) Full Text: DOI
Temme, Nico M. Large parameter cases of the Gauss hypergeometric function. (English) Zbl 1019.33003 J. Comput. Appl. Math. 153, No. 1-2, 441-462 (2003). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 33C05 33C45 41A60 30C15 41A10 PDFBibTeX XMLCite \textit{N. M. Temme}, J. Comput. Appl. Math. 153, No. 1--2, 441--462 (2003; Zbl 1019.33003) Full Text: DOI arXiv
Ismail, Mourad E. H.; Stanton, Dennis Applications of \(q\)-Taylor theorems. (English) Zbl 1024.33012 J. Comput. Appl. Math. 153, No. 1-2, 259-272 (2003). Reviewer: Wolfram Koepf (Kassel) MSC: 33D15 33D45 41A58 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{D. Stanton}, J. Comput. Appl. Math. 153, No. 1--2, 259--272 (2003; Zbl 1024.33012) Full Text: DOI
Bavinck, H. Differential operators having Sobolev-type Jacobi polynomials as eigenfunctions. (English) Zbl 1137.34360 J. Comput. Appl. Math. 151, No. 2, 271-295 (2003). MSC: 34L10 34L40 PDFBibTeX XMLCite \textit{H. Bavinck}, J. Comput. Appl. Math. 151, No. 2, 271--295 (2003; Zbl 1137.34360) Full Text: DOI
Sánchez Lara, Joaquin F. On the asymptotic expansion of the entropy of Gegenbauer polynomials. (English) Zbl 1001.33005 J. Comput. Appl. Math. 142, No. 2, 401-409 (2002). Reviewer: H.-J.Glaeske (Jena) MSC: 33C45 41A60 94A17 PDFBibTeX XMLCite \textit{J. F. Sánchez Lara}, J. Comput. Appl. Math. 142, No. 2, 401--409 (2002; Zbl 1001.33005) Full Text: DOI
Kyriakoussis, A.; Vamvakari, M. G. Asymptotic normality of the coefficients of polynomials associated with the Gegenbauer ones. (English) Zbl 0997.33001 J. Comput. Appl. Math. 133, No. 1-2, 455-463 (2001). Reviewer: Christian Krattenthaler (Wien) MSC: 33C45 39A11 41A60 60F05 PDFBibTeX XMLCite \textit{A. Kyriakoussis} and \textit{M. G. Vamvakari}, J. Comput. Appl. Math. 133, No. 1--2, 455--463 (2001; Zbl 0997.33001) Full Text: DOI
Bavinck, H. Differential operators having Sobolev-type Laguerre polynomials as eigenfunctions: New developments. (English) Zbl 0990.34072 J. Comput. Appl. Math. 133, No. 1-2, 183-193 (2001). MSC: 34L10 33C45 PDFBibTeX XMLCite \textit{H. Bavinck}, J. Comput. Appl. Math. 133, No. 1--2, 183--193 (2001; Zbl 0990.34072) Full Text: DOI
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R. Orthogonal polynomial solutions of linear ordinary differential equations. (English) Zbl 0993.33004 J. Comput. Appl. Math. 133, No. 1-2, 85-109 (2001). Reviewer: Mithat Idemen (İstanbul) MSC: 33C45 34L10 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., J. Comput. Appl. Math. 133, No. 1--2, 85--109 (2001; Zbl 0993.33004) Full Text: DOI
Deift, P.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X. A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials. (English) Zbl 1041.42018 J. Comput. Appl. Math. 133, No. 1-2, 47-63 (2001). Reviewer: Doron S. Lubinsky (Atlanta) MSC: 42C05 30E15 41A60 PDFBibTeX XMLCite \textit{P. Deift} et al., J. Comput. Appl. Math. 133, No. 1--2, 47--63 (2001; Zbl 1041.42018) Full Text: DOI
Xu, Yuan Orthogonal polynomials and cubature formulae on balls, simplices, and spheres. (English) Zbl 0972.42016 J. Comput. Appl. Math. 127, No. 1-2, 349-368 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 41A55 65D32 PDFBibTeX XMLCite \textit{Y. Xu}, J. Comput. Appl. Math. 127, No. 1--2, 349--368 (2001; Zbl 0972.42016) Full Text: DOI
Love, E. R. Another Fourier-style expansion in series of Legendre functions. (English) Zbl 0957.42017 J. Comput. Appl. Math. 118, No. 1-2, 261-282 (2000). Reviewer: Luigi Gatteschi (Torino) MSC: 42C15 33C45 42C10 40G10 PDFBibTeX XMLCite \textit{E. R. Love}, J. Comput. Appl. Math. 118, No. 1--2, 261--282 (2000; Zbl 0957.42017) Full Text: DOI
Bavinck, H. A note on the Koekoeks’ differential equation for generalized Jacobi polynomials. (English) Zbl 0945.33005 J. Comput. Appl. Math. 115, No. 1-2, 87-92 (2000). Reviewer: David M.Bressoud (Saint Paul) MSC: 33C45 34A35 42C15 PDFBibTeX XMLCite \textit{H. Bavinck}, J. Comput. Appl. Math. 115, No. 1--2, 87--92 (2000; Zbl 0945.33005) Full Text: DOI
Kzaz, M. Asymptotic expansion of Fourier coefficients associated to functions with low continuity. (English) Zbl 0979.42011 J. Comput. Appl. Math. 114, No. 2, 217-230 (2000). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C10 41A60 PDFBibTeX XMLCite \textit{M. Kzaz}, J. Comput. Appl. Math. 114, No. 2, 217--230 (2000; Zbl 0979.42011) Full Text: DOI
Díaz-Mendoza, C.; González-Vera, P.; Orive, R. Two-point Padé-type approximation to the Cauchy transform of certain strong distributions. (English) Zbl 0948.46032 J. Comput. Appl. Math. 105, No. 1-2, 229-243 (1999). Reviewer: N.Hayek (La Laguna) MSC: 46F12 30E05 34E05 PDFBibTeX XMLCite \textit{C. Díaz-Mendoza} et al., J. Comput. Appl. Math. 105, No. 1--2, 229--243 (1999; Zbl 0948.46032) Full Text: DOI
Ismail, Mourad E. H.; Simeonov, Plamen Strong asymptotics for Krawtchouk polynomials. (English) Zbl 0948.41018 J. Comput. Appl. Math. 100, No. 2, 121-144 (1998). Reviewer: R.P.Agarwal (Lucknow) MSC: 41A60 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{P. Simeonov}, J. Comput. Appl. Math. 100, No. 2, 121--144 (1998; Zbl 0948.41018) Full Text: DOI
Defez, Emilio; Jódar, Lucas Some applications of the Hermite matrix polynomials series expansions. (English) Zbl 0929.33006 J. Comput. Appl. Math. 99, No. 1-2, 105-117 (1998). Reviewer: Váslaw Burjan (Praha) MSC: 33C45 34A30 41A58 PDFBibTeX XMLCite \textit{E. Defez} and \textit{L. Jódar}, J. Comput. Appl. Math. 99, No. 1--2, 105--117 (1998; Zbl 0929.33006) Full Text: DOI
Bavinck, H. Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions. (English) Zbl 0928.34060 J. Comput. Appl. Math. 92, No. 2, 85-95 (1998). MSC: 34L10 39A70 34A35 47B39 33C45 PDFBibTeX XMLCite \textit{H. Bavinck}, J. Comput. Appl. Math. 92, No. 2, 85--95 (1998; Zbl 0928.34060) Full Text: DOI
Bavinck, H. On the sum of the coefficients of certain linear differential operators. (English) Zbl 0904.34059 J. Comput. Appl. Math. 89, No. 2, 213-217 (1998). MSC: 34L10 PDFBibTeX XMLCite \textit{H. Bavinck}, J. Comput. Appl. Math. 89, No. 2, 213--217 (1998; Zbl 0904.34059) Full Text: DOI
Matos, Ana C. Integral representations of the error and asymptotic error bounds for generalized Padé type approximants. (English) Zbl 0871.41008 J. Comput. Appl. Math. 77, No. 1-2, 239-254 (1997). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 41A21 PDFBibTeX XMLCite \textit{A. C. Matos}, J. Comput. Appl. Math. 77, No. 1--2, 239--254 (1997; Zbl 0871.41008) Full Text: DOI
Wong, R.; Zhang, J.-M. Asymptotic expansions of the generalized Bessel polynomials. (English) Zbl 0880.41027 J. Comput. Appl. Math. 85, No. 1, 87-112 (1997). MSC: 41A60 33C45 PDFBibTeX XMLCite \textit{R. Wong} and \textit{J. M. Zhang}, J. Comput. Appl. Math. 85, No. 1, 87--112 (1997; Zbl 0880.41027) Full Text: DOI
Lang, T.; Wong, R. “Best possible” upper bounds for the first two positive zeros of the Bessel function \(J_ \nu (x)\): The infinite case. (English) Zbl 0874.41013 J. Comput. Appl. Math. 71, No. 2, 311-329 (1996). MSC: 41A60 33C45 PDFBibTeX XMLCite \textit{T. Lang} and \textit{R. Wong}, J. Comput. Appl. Math. 71, No. 2, 311--329 (1996; Zbl 0874.41013) Full Text: DOI
Temme, N. M. Uniform asymptotic expansions of integrals: A selection of problems. (English) Zbl 0849.41024 J. Comput. Appl. Math. 65, No. 1-3, 395-417 (1995). MSC: 41A60 33B20 33C10 33C45 11B73 30E15 PDFBibTeX XMLCite \textit{N. M. Temme}, J. Comput. Appl. Math. 65, No. 1--3, 395--417 (1995; Zbl 0849.41024) Full Text: DOI
Bultheel, A.; González-Vera, P.; Orive, R. Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. I. Algebraic aspects. (English) Zbl 0847.41015 J. Comput. Appl. Math. 65, No. 1-3, 57-72 (1995). MSC: 41A21 41A55 30E05 34E05 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 65, No. 1--3, 57--72 (1995; Zbl 0847.41015) Full Text: DOI
Hajmirzaahmad, Mojdeh Laguerre polynomial expansions. (English) Zbl 0833.34079 J. Comput. Appl. Math. 59, No. 1, 25-37 (1995). MSC: 34L10 41A10 33C45 PDFBibTeX XMLCite \textit{M. Hajmirzaahmad}, J. Comput. Appl. Math. 59, No. 1, 25--37 (1995; Zbl 0833.34079) Full Text: DOI
Brezinski, C. (ed.); Maroni, P. (ed.); van Iseghem, J. (ed.) Proceedings of the 4th international symposium on orthogonal polynomials and their applications, October 19-23, 1992, Evian-Les Bains, France. (English) Zbl 0818.00019 J. Comput. Appl. Math. 57, No. 1-2, 322 p. (1995). MSC: 00B25 41-06 42-06 PDFBibTeX XMLCite \textit{C. Brezinski} (ed.) et al., J. Comput. Appl. Math. 57, No. 1--2, 322 p. (1995; Zbl 0818.00019) Full Text: DOI
Jiang, Tianzi Asymptotic expansion for the approximation of the Lipschitz function by the Hermite-Fejér interpolation polynomial. (English) Zbl 0824.41001 J. Comput. Appl. Math. 54, No. 3, 285-296 (1994). Reviewer: N.M.Temme (Amsterdam) MSC: 41A05 41A60 33C45 PDFBibTeX XMLCite \textit{T. Jiang}, J. Comput. Appl. Math. 54, No. 3, 285--296 (1994; Zbl 0824.41001) Full Text: DOI
Marcellán, F.; Alfaro, M.; Rezola, M. L. Orthogonal polynomials on Sobolev spaces: Old and new directions. (English) Zbl 0790.42015 J. Comput. Appl. Math. 48, No. 1-2, 113-131 (1993). MSC: 42C05 46E35 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 48, No. 1--2, 113--131 (1993; Zbl 0790.42015) Full Text: DOI
Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. Endpoint weak boundedness of some polynomial expansions. (English) Zbl 0790.42016 J. Comput. Appl. Math. 49, No. 1-3, 93-102 (1993). MSC: 42C15 PDFBibTeX XMLCite \textit{J. J. Guadalupe} et al., J. Comput. Appl. Math. 49, No. 1--3, 93--102 (1993; Zbl 0790.42016) Full Text: DOI
Salzer, H. E. Note on the Dochev-Grosswald asymptotic series for generalized Bessel polynomials. (English) Zbl 0529.33008 J. Comput. Appl. Math. 10, 133 (1984). MSC: 33C45 41A60 PDFBibTeX XMLCite \textit{H. E. Salzer}, J. Comput. Appl. Math. 10, 133 (1984; Zbl 0529.33008)
Salzer, Herbert E. Note on the Docev-Grosswald asymptotic series for generalized Bessel polynomials. (English) Zbl 0515.33006 J. Comput. Appl. Math. 9, 131-135 (1983). MSC: 33C45 41A60 PDFBibTeX XMLCite \textit{H. E. Salzer}, J. Comput. Appl. Math. 9, 131--135 (1983; Zbl 0515.33006) Full Text: DOI
Wise, Gary L.; Gallagher, Neal C. A novel approach for the computation of orthonormal polynomial expansions. (English) Zbl 0463.65009 J. Comput. Appl. Math. 7, 157-160 (1981). MSC: 65D20 65T40 33C45 42A16 PDFBibTeX XMLCite \textit{G. L. Wise} and \textit{N. C. Gallagher}, J. Comput. Appl. Math. 7, 157--160 (1981; Zbl 0463.65009) Full Text: DOI