Area, I.; Branquinho, A.; Moreno, A. Foulquié; Godoy, E. Orthogonal polynomial interpretation of \(q\)-Toda and \(q\)-Volterra equations. (English) Zbl 1469.65172 Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 393-414 (2018). MSC: 65Q10 65Q20 65Q30 47N20 42C05 33D45 PDFBibTeX XMLCite \textit{I. Area} et al., Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 393--414 (2018; Zbl 1469.65172) Full Text: DOI
Tcheutia, D. D.; Tefo, Y. Guemo; Foupouagnigni, M.; Godoy, E.; Area, I. Linear partial divided-difference equation satisfied by multivariate orthogonal polynomials on quadratic lattices. (English) Zbl 1384.33023 Math. Model. Nat. Phenom. 12, No. 3, 14-43 (2017). MSC: 33C45 33C50 39A14 65Q10 PDFBibTeX XMLCite \textit{D. D. Tcheutia} et al., Math. Model. Nat. Phenom. 12, No. 3, 14--43 (2017; Zbl 1384.33023) Full Text: DOI arXiv
Area, I.; Foupouagnigni, M.; Godoy, E.; Guemo Tefo, Y. On moments of hypergeometric bivariate weight functions. (English) Zbl 1377.44009 Bull. Sci. Math. 141, No. 8, 766-784 (2017). MSC: 44A60 42C05 33C70 33C50 PDFBibTeX XMLCite \textit{I. Area} et al., Bull. Sci. Math. 141, No. 8, 766--784 (2017; Zbl 1377.44009) Full Text: DOI
Area, I.; Dimitrov, Dimitar K.; Godoy, E. Recursive computation of generalised Zernike polynomials. (English) Zbl 1350.41013 J. Comput. Appl. Math. 312, 58-64 (2017). MSC: 41A21 41A27 42C05 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 312, 58--64 (2017; Zbl 1350.41013) Full Text: DOI Link
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G. Approximate calculation of sums. II: Gaussian type quadrature. (English) Zbl 1343.65021 SIAM J. Numer. Anal. 54, No. 4, 2210-2227 (2016). MSC: 65D30 65H04 PDFBibTeX XMLCite \textit{I. Area} et al., SIAM J. Numer. Anal. 54, No. 4, 2210--2227 (2016; Zbl 1343.65021) Full Text: DOI
Area, I.; Branquinho, A.; Foulquié Moreno, A.; Godoy, E. Characterizations of \(\Delta\)-Volterra lattice: a symmetric orthogonal polynomials interpretation. (English) Zbl 1356.37075 J. Math. Anal. Appl. 433, No. 1, 243-259 (2016). Reviewer: Pierluigi Vellucci (Roma) MSC: 37J35 33C45 39A70 PDFBibTeX XMLCite \textit{I. Area} et al., J. Math. Anal. Appl. 433, No. 1, 243--259 (2016; Zbl 1356.37075) Full Text: DOI
Area, I.; Branquinho, A.; Foulquié Moreno, A.; Godoy, E. Orthogonal polynomial interpretation of \(\Delta\)-Toda equations. (English) Zbl 1325.37039 J. Phys. A, Math. Theor. 48, No. 40, Article ID 405206, 13 p. (2015). MSC: 37K10 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Phys. A, Math. Theor. 48, No. 40, Article ID 405206, 13 p. (2015; Zbl 1325.37039) Full Text: DOI Link
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa Bounds for the zeros of symmetric Kravchuk polynomials. (English) Zbl 1320.33012 Numer. Algorithms 69, No. 3, 611-624 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{I. Area} et al., Numer. Algorithms 69, No. 3, 611--624 (2015; Zbl 1320.33012) Full Text: DOI
Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A.; Zarzo, A. Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm. (English) Zbl 1312.33042 J. Comput. Appl. Math. 284, 50-57 (2015). MSC: 33C65 33C50 39A14 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 284, 50--57 (2015; Zbl 1312.33042) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo Zero sets of bivariate Hermite polynomials. (English) Zbl 1343.33006 J. Math. Anal. Appl. 421, No. 1, 830-841 (2015). MSC: 33C50 33D50 14H99 PDFBibTeX XMLCite \textit{I. Area} et al., J. Math. Anal. Appl. 421, No. 1, 830--841 (2015; Zbl 1343.33006) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa Approximate calculation of sums. I: Bounds for the zeros of Gram polynomials. (English) Zbl 1311.33006 SIAM J. Numer. Anal. 52, No. 4, 1867-1886 (2014). Reviewer: M. Abdessadek Saib (Lyon) MSC: 33C45 26C10 65D30 PDFBibTeX XMLCite \textit{I. Area} et al., SIAM J. Numer. Anal. 52, No. 4, 1867--1886 (2014; Zbl 1311.33006) Full Text: DOI
Area, I.; Godoy, E.; Lamblém, R. L.; Sri Ranga, A. Basic hypergeometric polynomials with zeros on the unit circle. (English) Zbl 1334.33037 Appl. Math. Comput. 225, 622-630 (2013). MSC: 33D45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Math. Comput. 225, 622--630 (2013; Zbl 1334.33037) Full Text: DOI
Area, I.; Atakishiyev, N.; Godoy, E.; Rodal, J. Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions. (English) Zbl 1329.39011 Appl. Math. Comput. 223, 520-536 (2013). MSC: 39A13 33D45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Math. Comput. 223, 520--536 (2013; Zbl 1329.39011) Full Text: DOI arXiv
Area, I.; Godoy, E. On limit relations between some families of bivariate hypergeometric orthogonal polynomials. (English) Zbl 1272.33016 J. Phys. A, Math. Theor. 46, No. 3, Article ID 035202, 11 p. (2013). Reviewer: A. M. Mathai (Montreal) MSC: 33C70 42C05 60F05 39A14 PDFBibTeX XMLCite \textit{I. Area} and \textit{E. Godoy}, J. Phys. A, Math. Theor. 46, No. 3, Article ID 035202, 11 p. (2013; Zbl 1272.33016) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G. Zeros of classical orthogonal polynomials of a discrete variable. (English) Zbl 1266.33009 Math. Comput. 82, No. 282, 1069-1095 (2013). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{I. Area} et al., Math. Comput. 82, No. 282, 1069--1095 (2013; Zbl 1266.33009) Full Text: DOI
Costa, Marisa S.; Godoy, Eduardo; Lamblém, Regina L.; Sri Ranga, A. Basic hypergeometric functions and orthogonal Laurent polynomials. (English) Zbl 1264.33021 Proc. Am. Math. Soc. 140, No. 6, 2075-2089 (2012). Reviewer: Sunil Dutt Purohit (Udaipur) MSC: 33D15 42C05 33D45 PDFBibTeX XMLCite \textit{M. S. Costa} et al., Proc. Am. Math. Soc. 140, No. 6, 2075--2089 (2012; Zbl 1264.33021) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Rafaeli, Fernando R. Inequalities for zeros of Jacobi polynomials via Obrechkoff’s theorem. (English) Zbl 1247.33013 Math. Comput. 81, No. 278, 991-1004 (2012). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{I. Area} et al., Math. Comput. 81, No. 278, 991--1004 (2012; Zbl 1247.33013) Full Text: DOI
Area, I.; Godoy, E.; Rodal, J. On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions. (English) Zbl 1236.39015 J. Math. Anal. Appl. 389, No. 1, 165-178 (2012). MSC: 39A14 33C47 PDFBibTeX XMLCite \textit{I. Area} et al., J. Math. Anal. Appl. 389, No. 1, 165--178 (2012; Zbl 1236.39015) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. (English) Zbl 1248.35037 J. Math. Anal. Appl. 387, No. 2, 1188-1208 (2012). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35C05 33C47 33C67 PDFBibTeX XMLCite \textit{I. Area} et al., J. Math. Anal. Appl. 387, No. 2, 1188--1208 (2012; Zbl 1248.35037) Full Text: DOI arXiv
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo Convolutions and zeros of orthogonal polynomials. (English) Zbl 1216.33018 Appl. Numer. Math. 61, No. 7, 868-878 (2011). MSC: 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Numer. Math. 61, No. 7, 868--878 (2011; Zbl 1216.33018) Full Text: DOI
Lewanowicz, Stanisław; Woźny, Paweł; Area, Iván; Godoy, Eduardo Multivariate generalized Bernstein polynomials: Identities for orthogonal polynomials of two variables. (English) Zbl 1183.33021 Numer. Algorithms 49, No. 1-4, 199-220 (2008). Reviewer: Thomas Stoll (Marseille) MSC: 33C50 33D50 65D17 PDFBibTeX XMLCite \textit{S. Lewanowicz} et al., Numer. Algorithms 49, No. 1--4, 199--220 (2008; Zbl 1183.33021) Full Text: DOI
Rodal, J.; Area, I.; Godoy, E. Structure relations for monic orthogonal polynomials in two discrete variables. (English) Zbl 1142.33004 J. Math. Anal. Appl. 340, No. 2, 825-844 (2008). Reviewer: Ram Kishore Saxena (Jodhpur) MSC: 33C47 PDFBibTeX XMLCite \textit{J. Rodal} et al., J. Math. Anal. Appl. 340, No. 2, 825--844 (2008; Zbl 1142.33004) Full Text: DOI
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Orthogonal polynomials and the Bézout identity. (English) Zbl 1126.33005 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 566-578 (2007). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 39A13 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 566--578 (2007; Zbl 1126.33005)
Rodal, J.; Area, I.; Godoy, E. Linear partial difference equations of hypergeometric type: orthogonal polynomial solutions in two discrete variables. (English) Zbl 1113.33016 J. Comput. Appl. Math. 200, No. 2, 722-748 (2007). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C70 39A12 42C05 PDFBibTeX XMLCite \textit{J. Rodal} et al., J. Comput. Appl. Math. 200, No. 2, 722--748 (2007; Zbl 1113.33016) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Extensions of some results of P. Humbert on Bezout’s identity for classical orthogonal polynomials. (English) Zbl 1094.33005 J. Comput. Appl. Math. 196, No. 1, 212-228 (2006). MSC: 33C45 33C20 05A10 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 196, No. 1, 212--228 (2006; Zbl 1094.33005) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André Zeros of Jacobi functions of second kind. (English) Zbl 1089.33003 J. Comput. Appl. Math. 188, No. 1, 65-76 (2006). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C05 30C15 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 188, No. 1, 65--76 (2006; Zbl 1089.33003) Full Text: DOI
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J. \(\Delta\)-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation. (English) Zbl 1060.42015 J. Comput. Appl. Math. 178, No. 1-2, 21-36 (2005). MSC: 42C05 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 178, No. 1--2, 21--36 (2005; Zbl 1060.42015) Full Text: DOI
Rodal, J.; Area, I.; Godoy, E. Orthogonal polynomials of two discrete variables on the simplex. (English) Zbl 1065.33013 Integral Transforms Spec. Funct. 16, No. 3, 263-280 (2005). Reviewer: Jagendra Prasad Singhal (Baroda) MSC: 33D50 33C50 PDFBibTeX XMLCite \textit{J. Rodal} et al., Integral Transforms Spec. Funct. 16, No. 3, 263--280 (2005; Zbl 1065.33013) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution. (English) Zbl 1067.39033 J. Comput. Appl. Math. 173, No. 1, 81-92 (2005). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 33C20 05A10 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 173, No. 1, 81--92 (2005; Zbl 1067.39033) Full Text: DOI
Area, I.; Godoy, E.; Woźny, P.; Lewanowicz, S.; Ronveaux, A. Formulae relating little \(q\)-Jacobi, \(q\)-Hahn and \(q\)-Bernstein polynomials: Application to \(q\)-Bézier curve evaluation. (English) Zbl 1065.33010 Integral Transforms Spec. Funct. 15, No. 5, 375-385 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 65D17 PDFBibTeX XMLCite \textit{I. Area} et al., Integral Transforms Spec. Funct. 15, No. 5, 375--385 (2004; Zbl 1065.33010) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André Zeros of Gegenbauer and Hermite polynomials and connection coefficients. (English) Zbl 1048.33007 Math. Comput. 73, No. 248, 1937-1951 (2004). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{I. Area} et al., Math. Comput. 73, No. 248, 1937--1951 (2004; Zbl 1048.33007) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Classical symmetric orthogonal polynomials of a discrete variable. (English) Zbl 1055.33004 Integral Transforms Spec. Funct. 15, No. 1, 1-12 (2004). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 33C20 PDFBibTeX XMLCite \textit{I. Area} et al., Integral Transforms Spec. Funct. 15, No. 1, 1--12 (2004; Zbl 1055.33004) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. (English) Zbl 1050.33005 Appl. Math. Lett. 16, No. 3, 383-387 (2003). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Math. Lett. 16, No. 3, 383--387 (2003; Zbl 1050.33005) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Hypergeometric-type differential equations: second kind solutions and related integrals. (English) Zbl 1036.33005 J. Comput. Appl. Math. 157, No. 1, 93-106 (2003). Reviewer: Ravi N. Kalia (St. Cloud) MSC: 33C45 33C20 34A25 39A05 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 157, No. 1, 93--106 (2003; Zbl 1036.33005) Full Text: DOI
Area, I.; Godoy, E.; Marcellán, F. \(\Delta\)-coherent pairs and orthogonal polynomials of a discrete variable. (English) Zbl 1047.42019 Integral Transforms Spec. Funct. 14, No. 1, 31-57 (2003). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., Integral Transforms Spec. Funct. 14, No. 1, 31--57 (2003; Zbl 1047.42019) Full Text: DOI
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Expansion of hypergeometric polynomials: Several approaches. (English) Zbl 1033.33001 Govaerts, Jan (ed.) et al., Contemporary problems in mathematical physics. Proceedings of the second international workshop, Cotonou, Republic of Benin, October 28–November 2, 2001. River Edge, NJ: World Scientific (ISBN 981-02-4935-7/hbk). 446-459 (2002). Reviewer: Wolfram Koepf (Kassel) MSC: 33C20 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., in: Contemporary problems in mathematical physics. Proceedings of the second international workshop, Cotonou, Republic of Benin, October 28--November 2, 2001. River Edge, NJ: World Scientific. 446--459 (2002; Zbl 1033.33001)
Area, I.; Godoy, E.; Marcellán, F. \(q\)-coherent pairs and \(q\)-orthogonal polynomials. (English) Zbl 1020.33005 Appl. Math. Comput. 128, No. 2-3, 191-216 (2002). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33D45 33D15 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Math. Comput. 128, No. 2--3, 191--216 (2002; Zbl 1020.33005) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas. (English) Zbl 0988.33008 J. Comput. Appl. Math. 133, No. 1-2, 151-162 (2001). Reviewer: David M.Bressoud (Saint Paul) MSC: 33D45 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 133, No. 1--2, 151--162 (2001; Zbl 0988.33008) Full Text: DOI
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Classical orthogonal polynomials: Dependence of parameters. (English) Zbl 0962.33006 J. Comput. Appl. Math. 121, No. 1-2, 95-112 (2000). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Comput. Appl. Math. 121, No. 1--2, 95--112 (2000; Zbl 0962.33006) Full Text: DOI
Area, I.; Godoy, E.; Marcellán, F. Classification of all \(\Delta\)-coherent pairs. (English) Zbl 0972.42017 Integral Transforms Spec. Funct. 9, No. 1, 1-18 (2000). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., Integral Transforms Spec. Funct. 9, No. 1, 1--18 (2000; Zbl 0972.42017) Full Text: DOI Link
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J. Inner products involving \(q\)-differences: The little \(q\)-Laguerre-Sobolev polynomials. (English) Zbl 0957.33008 J. Comput. Appl. Math. 118, No. 1-2, 1-22 (2000). Reviewer: N.M.Temme (Amsterdam) MSC: 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 118, No. 1--2, 1--22 (2000; Zbl 0957.33008) Full Text: DOI
Lewanowicz, Stanislaw; Godoy, Eduardo; Area, Iván; Ronveaux, André; Zarzo, Alejandro Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials. (English) Zbl 1047.33009 Numer. Algorithms 23, No. 1, 31-50 (2000). MSC: 33D45 33C45 33F10 39A13 PDFBibTeX XMLCite \textit{S. Lewanowicz} et al., Numer. Algorithms 23, No. 1, 31--50 (2000; Zbl 1047.33009) Full Text: DOI
Area, I.; Godoy, E.; Marcellán, F. Inner products involving differences: The Meixner-Sobolev polynomials. (English) Zbl 0948.33004 J. Difference Equ. Appl. 6, No. 1, 1-31 (2000). Reviewer: J.Saurer (Regensburg) MSC: 33C45 33D45 39A10 39A70 42C05 PDFBibTeX XMLCite \textit{I. Area} et al., J. Difference Equ. Appl. 6, No. 1, 1--31 (2000; Zbl 0948.33004) Full Text: DOI
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J. Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials. (English) Zbl 0984.42016 J. Comput. Appl. Math. 116, No. 1, 63-75 (2000). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 116, No. 1, 63--75 (2000; Zbl 0984.42016) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Inversion problems in the \(q\)-Hahn tableau. (English) Zbl 0953.33005 J. Symb. Comput. 28, No. 6, 767-776 (1999). Reviewer: N.M.Temme (Amsterdam) MSC: 33C47 33F10 PDFBibTeX XMLCite \textit{I. Area} et al., J. Symb. Comput. 28, No. 6, 767--776 (1999; Zbl 0953.33005)
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Decomposition of polynomials with respect to the cyclic group of order \(m\). (English) Zbl 0947.65057 J. Symb. Comput. 28, No. 6, 755-765 (1999). Reviewer: J.Illán González (Vigo) MSC: 65H05 65D20 34A30 34A25 12Y05 26C10 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Symb. Comput. 28, No. 6, 755--765 (1999; Zbl 0947.65057)
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Transverse limits in the Askey tableau. (English) Zbl 0936.33004 J. Comput. Appl. Math. 99, No. 1-2, 327-335 (1998). Reviewer: Wolfram Koepf (Leipzig) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Comput. Appl. Math. 99, No. 1--2, 327--335 (1998; Zbl 0936.33004) Full Text: DOI
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. On the limit relations between classical continuous and discrete orthogonal polynomials. (English) Zbl 0934.33013 J. Comput. Appl. Math. 91, No. 1, 97-105 (1998). Reviewer: R.Koekoek (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{E. Godoy} et al., J. Comput. Appl. Math. 91, No. 1, 97--105 (1998; Zbl 0934.33013) Full Text: DOI
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. Bernstein bases and Hahn-Eberlein orthogonal polynomials. (English) Zbl 0942.33006 Integral Transforms Spec. Funct. 7, No. 1-2, 87-96 (1998). Reviewer: Wolfram Koepf (Leipzig) MSC: 33C45 68U07 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., Integral Transforms Spec. Funct. 7, No. 1--2, 87--96 (1998; Zbl 0942.33006) Full Text: DOI
Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A. Recursive approach to connection and linearization coefficients between polynomials. (English) Zbl 0922.33004 Srinivasa Rao, K. (ed.) et al., Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13–24, 1997. New Delhi: Allied Publishers Private Limited. 83-101 (1998). Reviewer: P.A.McCoy (Annapolis) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., in: Special functions and differential equations. Proceedings of a workshop, WSSF '97, Madras, India, January 13--24, 1997. New Delhi: Allied Publishers Private Limited. 83--101 (1998; Zbl 0922.33004)
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. (English) Zbl 0934.33014 J. Comput. Appl. Math. 89, No. 2, 309-325 (1998). Reviewer: R.Koekoek (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 89, No. 2, 309--325 (1998; Zbl 0934.33014) Full Text: DOI
Ronveaux, A.; Godoy, E.; Zarzo, A.; Area, I. Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials. (English) Zbl 0906.33003 J. Comput. Appl. Math. 90, No. 1, 45-50 (1998). Reviewer: J.Matkowski (Bielsko-Biała) MSC: 33C45 39A10 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Comput. Appl. Math. 90, No. 1, 45--50 (1998; Zbl 0906.33003) Full Text: DOI
Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A. Results for some inversion problems for classical continuous and discrete orthogonal polynomials. (English) Zbl 0992.33003 J. Phys. A, Math. Gen. 30, No. 3, L35-L40 (1997). MSC: 33C45 PDFBibTeX XMLCite \textit{A. Zarzo} et al., J. Phys. A, Math. Gen. 30, No. 3, L35--L40 (1997; Zbl 0992.33003) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. (English) Zbl 0892.65078 J. Comput. Appl. Math. 87, No. 2, 321-337 (1997). Reviewer: G.Walz (Mannheim) MSC: 65Q05 65D20 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 87, No. 2, 321--337 (1997; Zbl 0892.65078) Full Text: DOI
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case. (English) Zbl 0909.65008 J. Comput. Appl. Math. 84, No. 2, 257-275 (1997). Reviewer: V.Parkhomenko (Kyïv) MSC: 65D20 65Q05 42C05 33C45 PDFBibTeX XMLCite \textit{E. Godoy} et al., J. Comput. Appl. Math. 84, No. 2, 257--275 (1997; Zbl 0909.65008) Full Text: DOI
Godoy, E.; Marcellán, F.; Salto, L.; Zarzo, A. Perturbations of discrete semiclassical functionals by Dirac masses. (English) Zbl 0877.33002 Integral Transforms Spec. Funct. 5, No. 1-2, 19-46 (1997). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 33E30 39A10 PDFBibTeX XMLCite \textit{E. Godoy} et al., Integral Transforms Spec. Funct. 5, No. 1--2, 19--46 (1997; Zbl 0877.33002) Full Text: DOI
Ronveaux, A.; Belmehdi, S.; Godoy, E.; Zarzo, A. Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials. (English) Zbl 0862.33006 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 319-335 (1996). Reviewer: H.Stahl (Berlin) MSC: 33C45 33E30 39A10 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., in: Symmetries and integrability of difference equations. Papers from the workshop, May 22--29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. 319--335 (1996; Zbl 0862.33006)
Ronveaux, A.; Zarzo, A.; Godoy, E. Recurrence relations for connection coefficients between two families of orthogonal polynomials. (English) Zbl 0876.65005 J. Comput. Appl. Math. 62, No. 1, 67-73 (1995). MSC: 65D20 65Q05 33C50 34A05 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Comput. Appl. Math. 62, No. 1, 67--73 (1995; Zbl 0876.65005) Full Text: DOI
Ronveaux, A.; Zarzo, A.; Godoy, E. Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros. (English) Zbl 0835.42013 J. Comput. Appl. Math. 59, No. 3, 295-328 (1995). Reviewer: H.-J.Glaeske (Jena) MSC: 42C05 33C45 26C10 PDFBibTeX XMLCite \textit{A. Ronveaux} et al., J. Comput. Appl. Math. 59, No. 3, 295--328 (1995; Zbl 0835.42013) Full Text: DOI
Godoy, E.; Marcellan, F. Orthogonal polynomials and rational modifications of measures. (English) Zbl 0796.42016 Can. J. Math. 45, No. 5, 930-943 (1993). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 28A12 PDFBibTeX XMLCite \textit{E. Godoy} and \textit{F. Marcellan}, Can. J. Math. 45, No. 5, 930--943 (1993; Zbl 0796.42016) Full Text: DOI
Zarzo, A.; Ronveaux, A.; Godoy, E. Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros. (English) Zbl 0795.33001 J. Comput. Appl. Math. 49, No. 1-3, 349-359 (1993). Reviewer: H.Stahl (Berlin) MSC: 33C45 33-04 PDFBibTeX XMLCite \textit{A. Zarzo} et al., J. Comput. Appl. Math. 49, No. 1--3, 349--359 (1993; Zbl 0795.33001) Full Text: DOI
Godoy, Eduardo; Marcellan, Francisco An analog of the Christoffel formula for polynomial modification of a measure on the unit circle. (English) Zbl 0728.33003 Boll. Unione Mat. Ital., VII. Ser., A 5, No. 1, 1-12 (1991). Reviewer: L.Gatteschi (Torino) MSC: 33C45 PDFBibTeX XMLCite \textit{E. Godoy} and \textit{F. Marcellan}, Boll. Unione Mat. Ital., VII. Ser., A 5, No. 1, 1--12 (1991; Zbl 0728.33003)
Marcellán, Francisco; Godoy, Eduardo Paciência Orthogonal polynomials on the unit circle: distribution of zeros. (English) Zbl 0745.42013 J. Comput. Appl. Math. 37, No. 1-3, 195-208 (1991). Reviewer: Francisco Marcellán MSC: 42C05 30C15 65H99 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{E. P. Godoy}, J. Comput. Appl. Math. 37, No. 1--3, 195--208 (1991; Zbl 0745.42013) Full Text: DOI
Cachafeiro, A. (ed.); Godoy, E. (ed.) Orthogonal polynomials and their applications. Proceedings of the fifth symposium, held in Vigo, Spain, September 8-10, 1988. (Polinomios ortogonales y sus aplicaciones. Actas del V simposium, Vigo, España, del 8 al 10 de septiembre de 1988.) (Spanish, English, French) Zbl 0746.00061 Vigo: Escuela Técnica Superior de Ingenieros Industriales de Vigo. xii, 174 p. (1989). MSC: 00B25 33-06 42-06 PDFBibTeX XMLCite \textit{A. Cachafeiro} (ed.) and \textit{E. Godoy} (ed.), Polinomios ortogonales y sus aplicaciones. Actas del V simposium, Vigo, España, del 8 al 10 de septiembre de 1988 (Spanish). Vigo: Escuela Técnica Superior de Ingenieros Industriales de Vigo (1989; Zbl 0746.00061)
Godoy, Eduardo; Marcellan, Francisco Tridiagonal Toeplitz matrices and orthogonal polynomials on the unit circle. (English) Zbl 0673.42013 Orthogonal polynomials and their applications, Proc. Int. Congr., Laredo/Spain 1987, Lect. Notes Pure Appl. Math. 117, 139-146 (1989). MSC: 42C05 PDFBibTeX XML