Guillermo P. Curbera;Durán-Guardeño, Antonio José:
Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials. Journal of Mathematical Analysis and Applications. 2019. Núm: 474. Pág. 748-764.
Durán-Guardeño, Antonio José;Domínguez-De La Iglesia, Manuel:
Differential equations for discrete Jacobi-Sobolev orthogonal polynomials. Journal of Spectral Theory. 2017.
Durán-Guardeño, Antonio José:
From Krall discrete orthogonal polynomials to Krall polynomials. Journal of Mathematical Analysis and Applications. 2017. Vol: 450. Pág. 888-900. https://doi.org/10.1016/j.jmaa.2017.01.063.
Durán-Guardeño, Antonio José:
Exceptional Hahn and Jacobi orthogonal polynomials. Journal of Approximation Theory. 2017. Vol: 214. Pág. 9-48.
Durán-Guardeño, Antonio José;Arvesú, Jorge:
Casorati type determinants of some q-classical polynomials. Proceedings of the American Mathematical Society. 2016. Vol: 144. Pág. 1655-1668.
Durán-Guardeño, Antonio José;Domínguez-De La Iglesia, Manuel:
Constructing Bispectral Orthogonal Polynomials from the Classical Discrete Families of Charlier, Meixner and Krawtchouk. Constructive Approximation. 2015. Vol: 41. Pág. 49-91. 10.1007/s00365-014-9251-5.
Durán-Guardeño, Antonio José:
Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials. Integral Transforms and Special Functions. 2015. Vol: 26. Pág. 357-376.
Durán-Guardeño, Antonio José;Domínguez-De La Iglesia, Manuel:
Constructing Krall-Hahn orthogonal polynomials. Journal of Mathematical Analysis and Applications. 2015. Vol: 424. Pág. 361-384. 10.1016/j.jmaa.2014.10.069.
Durán-Guardeño, Antonio José:
Constructing bispectral dual Hahn polynomials. Journal of Approximation Theory. 2015. Vol: 189. Pág. 1-28.
Durán-Guardeño, Antonio José;Pérez-riera, Mario;Varona, Juan Luis:
Some conjectures on Wronskian and Casorati determinants of orthogonal polynomials. Experimental Mathematics. 2015. Vol: 24. Pág. 123-132.
Durán-Guardeño, Antonio José;Pérez-riera, Mario:
Admissibility condition for exceptional Laguerre polynomials. Journal of Mathematical Analysis and Applications. 2015. Vol: 424. Pág. 1042-1053.
Durán-Guardeño, Antonio José;Alvarez-Nodarse, Renato:
Using D-operators to construct orthogonal polynomials satisfying higher order q-difference equations . Journal of Mathematical Analysis and Applications. 2015. Vol: 434. Núm: 1. Pág. 304-320. http://dx.doi.org/10.1016/j.jmaa.2014.11.011.
Durán-Guardeño, Antonio José;Domínguez-De La Iglesia, Manuel:
Differential equations for discrete Laguerre-Sobolev orthogonal polynomials. Journal of Approximation Theory. 2015. Vol: 195. Pág. 70-88. 10.1016/j.jat.2014.01.004.
Durán-Guardeño, Antonio José;Pérez-riera, Mario;Varona, Juan Luis:
The misfortunes of a trio of mathematicians using Computer Algebra Systems.Can we trust in them?. Notices of the American Mathematical Society. 2014. Vol: 61. Pág. 1249-1252.
Durán-Guardeño, Antonio José;Sánchez-Canales, Vanesa:
Rodrigues' Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Difference. Integral Transforms and Special Functions. 2014. Vol: 25. Pág. 849-863.
Durán-Guardeño, Antonio José:
Symmetries for Casorati determinants of classical discrete orthogonal polynomials. Proceedings of the American Mathematical Society. 2014. Vol: 142. Pág. 915-930.
Durán-Guardeño, Antonio José;Martínez De Los Ríos, Ana:
The convex cone of weight matrices associated to a second order matrix difference operator. Integral Transforms and Special Functions. 2014. Vol: 25. Pág. 663-679. https://doi.org/10.1080/10652469.2014.895343.
Durán-Guardeño, Antonio José:
Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities. Journal of Combinatorial Theory, Series A. 2014. Vol: 124. Pág. 57-96.
Durán-Guardeño, Antonio José:
Exceptional Meixner and Laguerre orthogonal polynomials. Journal of Approximation Theory. 2014. Vol: 184. Pág. 176-208.
Durán-Guardeño, Antonio José:
Orthogonal matrix polynomials whose differences are also orthogonal. Journal of Approximation Theory. 2014. Vol: 179. Pág. 112-127.
Durán-Guardeño, Antonio José:
Exceptional Charlier and Hermite orthogonal polynomials. Journal of Approximation Theory. 2014. Vol: 182. Pág. 29-58.
Durán-Guardeño, Antonio José:
Using D-operators to construct orthogonal polynomials satisfying higher order difference or differential operators. Journal of Approximation Theory. 2013. Vol: 174. Pág. 10-53.
Durán-Guardeño, Antonio José:
Constructing orthogonal matrix polynomials satisfying differential equations from two different Laguerre weights. Integral Transforms and Special Functions. 2013. Vol: 24. Pág. 263-279.
Alvarez-Nodarse, Renato;Durán-Guardeño, Antonio José;De Los Ríos, Ana M.:
Orthogonal matrix polynomials satisfying second order difference equations. Journal of Approximation Theory. 2013. Vol: 169. Pág. 40-55. http://dx.doi.org/10.1016/j.jat.2013.02.003.
Durán-Guardeño, Antonio José:
Orthogonal polynomials satisfying higher order difference equations. Constructive Approximation. 2012. Vol: 36. Pág. 459-486.
Durán-Guardeño, Antonio José:
The algebra of difference operators associated to a family of orthogonal polynomials. Journal of Approximation Theory. 2012. Vol: 164. Pág. 586-610.
Durán-Guardeño, Antonio José;Castro-Smirnova, Mirta María;Borrego-morell, Jorge:
Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non scalar limits. Integral Transforms and Special Functions. 2012. Vol: 23. Núm: 9. Pág. 685-700. DOI:10.1080/10652469.2011.627510.
Durán-Guardeño, Antonio José;Berg-, Christian:
FIBONACCI NUMBERS, EULER TWO PERIODIC CONTINUOUS FRACTIONS AND MOMENT SEQUENCES. The Fibonacci Quarterly. 2011. Pág. 00-00.
Durán-Guardeño, Antonio José:
A miraculously commuting family of orthogonal matrix polynomials satisfying second order differential equations. Journal of Approximation Theory. 2011. Vol: 163. Pág. 1815-1833. 10.1016/j.jat.2011.08.001.
Durán-Guardeño, Antonio José:
RODRIGUES' FORMULAS FOR ORTHOGONAL MATRIX POLYNOMIALS SATISFYING HIGHER ORDER DIFFERENTIAL EQUATIONS. Experimental Mathematics. 2011. Pág. 00-00.
Durán-Guardeño, Antonio José:
RODRIGUES' FORMULAS FOR ORTHOGONAL MATRIX POLYNOMIALS SATISFYING SECOND ORDER DIFFERENTIAL EQUATIONS. International Mathematics Research Notices. 2009. Vol: RNP156. Pág. 1-32.
Durán-Guardeño, Antonio José;Grunbaum-, F. Alberto:
MATRIX DIFFERENTIAL EQUATIONS AND SCALAR POLYNOMIALS SATISFYING HIGHER ORDER RECURSIONS. Journal of Mathematical Analysis and Applications. 2009. Vol: 354. Pág. 1-11.
Durán-Guardeño, Antonio José:
GENERATING ORTHOGONAL MATRIX POLYNOMIALS SATISFYING SECOND ORDER DIFFERENTIAL EQUATIONS FROM A TRIO OF TRIANGULAR MATRICES. Journal of Approximation Theory. 2009. Vol: 161. Pág. 88-113.
Durán-Guardeño, Antonio José:
A METHOD TO FIND WEIGHT MATRICES HAVING SYMMETRIC SECOND ORDER DIFFERENTIAL OPERATORS WITH MATRIX LEADING COEFFICIENT. Constructive Approximation. 2009. Vol: 29. Pág. 181-205.
Durán-Guardeño, Antonio José;Berg-, Christian:
ITERATION OF THE RATIONAL FUNCTION Z-1/Z AND A HAUSDORFF MOMENT SEQUENCE. Expositiones Mathematicae. 2008. Vol: 26. Núm: 4. Pág. 375-385.
Berg-, Christian;Durán-Guardeño, Antonio José:
THE FIXED POINT FOR A TRANSFORMATION OF HAUSDORFF MOMENT SEQUENCES AND ITERATION OF A RATIONAL FUNCTION. Mathematica Scandinavica. 2008. Vol: 103. Núm: 1. Pág. 11-39.
Domínguez-De La Iglesia, Manuel;Durán-Guardeño, Antonio José:
SOME EXAMPLES OF ORTHOGONAL MATRIX POLYNOMIALS SATISFYING ODD ORDER DIFFERENTIAL EQUATIONS. Journal of Approximation Theory. 2008. Vol: 150. Núm: 2. Pág. 153-174.
Domínguez-De La Iglesia, Manuel;Durán-Guardeño, Antonio José:
SECOND-ORDER DIFFERENTIAL OPERATORS HAVING SEVERAL FAMILIES OF ORTHOGONAL MATRIX POLYNOMIALS AS EIGENFUNCTIONS. International Mathematics Research Notices. 2008. Pág. rnn084-1-rnn084-24.
Durán-Guardeño, Antonio José;Grunbaum-, F. Alberto:
MATRIX ORTHOGONAL POLYNOMIALS SATISFYING SECOND-ORDER DIFFERENTIAL EQUATIONS: COPING WITHOUT HELP FROM GROUP REPRESENTATION THEORY. Journal of Approximation Theory. 2007. Vol: 148. Núm: 1. Pág. 35-48.
Durán-Guardeño, Antonio José;López-Rodríguez, Pedro:
STRUCTURAL FORMULAS FOR ORTHOGONAL MATRIX POLYNOMIALS SATISFYING SECOND-ORDER DIFFERENTIAL EQUATIONS, II. Constructive Approximation. 2007. Vol: 26. Núm: 1. Pág. 29-47.
Durán-Guardeño, Antonio José;Grunbaum-, F. Alberto:
P A M DIRAC MEETS M G KREIN: MATRIX ORTHOGONAL POLYNOMIALS AND DIRAC'S EQUATION. Journal of Physics A: Mathematical and General. 2006. Vol: 39. Núm: 14. Pág. 3655-3662.
Durán-Guardeño, Antonio José;Ismail-,M.E.H.:
DIFFERENTIAL COEFFICIENTS OF ORTHOGONAL MATRIX POLYNOMIALS. Journal of Computational and Applied Mathematics. 2006. Vol: 190. Núm: 1-2. Pág. 424-436.
Durán-Guardeño, Antonio José;Berg-, Christian:
ORTHOGONAL POLYNOMIALS AND ANALYTIC FUNCTIONS ASSOCIATED TO POSITIVE DEFINITE MATRICES. Journal of Mathematical Analysis and Applications. 2006. Vol: 315. Núm: 1. Pág. 54-67.
Durán-Guardeño, Antonio José;Grunbaum-, F. Alberto:
ORTHOGONAL MATRIX POLYNOMIALS, SCALAR-TYPE RODRIGUES' FORMULAS AND PEARSON EQUATIONS. Journal of Approximation Theory. 2005. Vol: 134. Núm: 2. Pág. 267-280.
Durán-Guardeño, Antonio José;Grunbaum-, F. Alberto:
A SURVEY ON ORTHOGONAL MATRIX POLYNOMIALS SATISFYING SECOND ORDER DIFFERENTIAL EQUATIONS. Journal of Computational and Applied Mathematics. 2005. Vol: 178. Núm: 1-2. Pág. 169-190.
Durán-Guardeño, Antonio José;Berg-, Christian:
SOME TRANSFORMATIONS OF HAUSDORFF MOMENT SEQUENCES AND HARMONIC NUMBERS. Canadian Journal of Mathematics. 2005. Vol: 57. Núm: 5. Pág. 941-960.
Durán-Guardeño, Antonio José;Grunbaum-, F. Alberto:
A CHARACTERIZATION FOR A CLASS OF WEIGHT MATRICES WITH ORTHOGONAL MATRIX POLYNOMIALS SATISFYING SECOND-ORDER DIFFERENTIAL EQUATIONS. International Mathematics Research Notices. 2005. Núm: 23. Pág. 1371-1390.
Durán-Guardeño, Antonio José;Grunbaum-, F. Alberto:
STRUCTURAL FORMULAS FOR ORTHOGONAL MATRIX POLYNOMIALS SATISFYING SECOND-ORDER DIFFERENTIAL EQUATIONS, I. Constructive Approximation. 2005. Vol: 22. Núm: 2. Pág. 255-271.
Durán-Guardeño, Antonio José;Grunbaum-, F. Alberto:
ORTHOGONAL MATRIX POLYNOMIALS SATISFYING SECOND-ORDER DIFFERENTIAL EQUATIONS. International Mathematics Research Notices. 2004. Núm: 10. Pág. 461-484.
Durán-Guardeño, Antonio José;Berg-, Christian:
A TRANSFORMATION FROM HAUSDORFF TO STIELTJES MOMENT PROBLEM. Arkiv foer Matematik. 2004. Vol: 42. Pág. 239-257.
Durán-Guardeño, Antonio José;Polo-García, Beatriz:
MATRIX CHRISTOFFEL FUNCTIONS. Constructive Approximation. 2004. Vol: 20. Núm: 3. Pág. 353-376.
Durán-Guardeño, Antonio José;Castro-Smirnova, Mirta María:
BOUNDEDNESS PROPERTIES FOR SOBOLEV INNER PRODUCTS. Journal of Approximation Theory. 2003. Vol: 122. Núm: 1. Pág. 97-111.
Durán-Guardeño, Antonio José;Polo-García, Beatriz:
GAUSSIAN QUADRATURE FORMULAE FOR MATRIX WEIGHTS. Linear Algebra and Its Applications. 2002. Vol: 355. Pág. 119-146.
Durán-Guardeño, Antonio José;Daneri-,E.:
WEAK CONVERGENCE FOR ORTHOGONAL MATRIX POLYNOMIALS. Indagationes Mathematicae. 2002. Vol: 13. Núm: 1. Pág. 47-62.
Durán-Guardeño, Antonio José;Defez-,E.:
ORTHOGONAL MATRIX POLYNOMIALS AND QUADRATURE FORMULAS. Linear Algebra and Its Applications. 2002. Vol: 345. Núm: 1-3. Pág. 71-84.
Durán-Guardeño, Antonio José;Saff-,E.B.:
ZERO LOCATION FOR NONSTANDARD ORTHOGONAL POLYNOMIALS. Journal of Approximation Theory. 2001. Vol: 113. Núm: 1. Pág. 127-141.
Durán-Guardeño, Antonio José;Daneri-,E.:
RATIO ASYMPTOTICS FOR ORTHOGONAL MATRIX POLYNOMIALS WITH UNBOUNDED RECURRENCE COEFFICIENTS. Journal of Approximation Theory. 2001. Vol: 110. Núm: 1. Pág. 1-17.
Durán-Guardeño, Antonio José;López-Rodríguez, Pedro:
N-EXTREMAL MATRICES OF MEASURES FOR AN INDETERMINATE MATRIX MOMENT PROBLEM. Journal of Functional Analysis. 2000. Vol: 174. Núm: 2. Pág. 301-321.
Durán-Guardeño, Antonio José:
RATIO ASYMPTOTICS FOR ORTHOGONAL MATRIX POLYNOMIALS,. Journal of Approximation Theory. 1999. Vol: 100. Núm: 2. Pág. 304-344.
Durán-Guardeño, Antonio José;López-Rodríguez, Pedro;Saff-,E.B.:
ZERO ASYMPTOTIC BEHAVIOUR FOR ORTHOGONAL MATRIX POLYNOMIALS. Journal d'Analyse Mathématique. 1999. Vol: 78. Pág. 37-60.
Durán-Guardeño, Antonio José:
MATRIX INNER PRODUCT HAVING A MATRIX SYMMETRIC SECOND ORDER DIFFERENTIAL OPERATOR. Rocky Mountain Journal of Mathematics. 1997. Vol: 27. Núm: 2. Pág. 585-600.
Durán-Guardeño, Antonio José;López-Rodríguez, Pedro:
THE L-P SPACE OF A POSITIVE DEFINITE MATRIX OF MEASURES AND DENSITY OF MATRIX POLYNOMIALS IN L-1. Journal of Approximation Theory. 1997. Vol: 90. Núm: 2. Pág. 299-318.
Durán-Guardeño, Antonio José;Berg-, Christian:
MEASURES WITH FINITE INDEX OF DETERMINACY OR A MATHEMATICAL MODEL FOR DR JEKYLL AND MR HYDE. Proceedings of the American Mathematical Society. 1997. Vol: 125. Núm: 2. Pág. 523-530.
Durán-Guardeño, Antonio José:
THE HAUSDORFF MOMENT PROBLEM WITH COMPLEX EXPONENTS AND A MUNTZ-SZASZ THEOREM FOR DISTRIBUTIONS. Mathematische Nachrichten. 1997. Vol: 187. Pág. 79-99.
Durán-Guardeño, Antonio José;López-Rodríguez, Pedro:
DENSITY QUESTIONS FOR THE TRUNCATED MATRIX MOMENT PROBLEM. Canadian Journal of Mathematics. 1997. Vol: 49. Núm: 4. Pág. 708-721.
Durán-Guardeño, Antonio José:
RATIO ASYMPTOTICS AND QUADRATURE FORMULAS. Constructive Approximation. 1997. Vol: 13. Núm: 2. Pág. 271-286.
Durán-Guardeño, Antonio José:
MARKOV'S THEOREM FOR ORTHGONAL MATRIX POLYNOMIALS. Canadian Journal of Mathematics. 1996. Vol: 48. Pág. 1180-1195.
Durán-Guardeño, Antonio José;Berg-, Christian:
ORTHOGONAL POLYNOMIALS, L^2 SPACES AND ENTIRE FUNCTIONS. Mathematica Scandinavica. 1996. Vol: 79. Pág. 209-223.
Durán-Guardeño, Antonio José;López-Rodríguez, Pedro:
ORTHOGONAL MATRIX POLYNOMIALS: ZEROS AND BLUMENTHAL'S THEOREM. Journal of Approximation Theory. 1996. Vol: 84. Núm: 1. Pág. 96-118.
Durán-Guardeño, Antonio José;Berg-, Christian:
WHEN DOES A DISCRETE DIFFERENTIAL PERTURBATION OF A SEQUENCE OF ORTHONORMAL POLYNOMIALS BELONG TO ELL^2?. Journal of Functional Analysis. 1996. Vol: 136. Pág. 127-153.
Durán-Guardeño, Antonio José;Berg-, Christian:
THE INDEX OF DETERMINACY FOR MEASURES AND THE ELL^2 NORM OF ORTHOGONAL POLYNOMIALS. American Mathematical Society. Transactions. 1995. Vol: 347. Pág. 2795-2811.
Durán-Guardeño, Antonio José;Van Assche-, Walter:
ORTHOGONAL MATRIX POLYNOMIALS AND HIGHER ORDER RECURRENCE RELATIONS. Linear Algebra and Its Applications. 1995. Vol: 219. Pág. 261-280.
Durán-Guardeño, Antonio José:
ON ORTHOGONAL POLYNOMIALS WITH RESPECT TO A POSITIVE DEFINITE MATRIX OF MEASURES. Canadian Journal of Mathematics. 1995. Vol: 47. Pág. 88-112.
Durán-Guardeño, Antonio José:
A GENERALIZATION OF FAVARD'S THEOREM FOR POLYNOMIALS SATISFYING A RECURRENCE RELATION. Journal of Approximation Theory. 1993. Vol: 74. Pág. 83-109.
Durán-Guardeño, Antonio José:
LAGUERRE EXPANSIONS IN GELFAND-SHILOV SPACES. Journal of Approximation Theory. 1993. Vol: 74. Pág. 280-300.
Durán-Guardeño, Antonio José:
FUNCTIONS WITH GIVEN MOMENTS AN WEIGHT FUNCTIONS FOR ORTHOGONAL POLYNOMIALS. Rocky Mountain Journal of Mathematics. 1993. Vol: 23. Pág. 87-104.
Durán-Guardeño, Antonio José:
GELFAND-SHILOV SPACES FOR THE HANKEL TRANSFORM. Indagationes Mathematicae. 1992. Vol: 3. Pág. 137-151.
Durán-Guardeño, Antonio José:
THE STIELTJES MOMENT PROBLEM WITH COMPLEX EXPONENTS. Mathematische Nachrichten. 1992. Vol: 158. Pág. 175-194.
Durán-Guardeño, Antonio José:
A BOUND ON THE LAGUERRE POLYNOMIALS. Studia Mathematica. 1991. Vol: 100. Pág. 339-345.
Durán-Guardeño, Antonio José:
THE ANALYTIC FUNCTIONALS IN THE LOWER HALF PLANE AS A GELFAND-SHILOV SPACE. Mathematische Nachrichten. 1991. Vol: 153. Pág. 145-167.
Durán-Guardeño, Antonio José:
ON HANKEL TRANSFORM. Proceedings of the American Mathematical Society. 1990. Vol: 110. Pág. 417-424.
Durán-Guardeño, Antonio José:
LAGUERRE EXPANSIONS OF TEMPERED DISTRIBUTIONS AND GENERALIZED FUNCTIONS. Journal of Mathematical Analysis and Applications. 1990. Vol: 150. Pág. 166-180.
Arias De Reyna-Martínez, Juan;Durán-Guardeño, Antonio José:
SOME RESULTS ABOUT THE SPACE A-INFTY OF ANALYTIC FUNCTIONS. Michigan Mathematical Journal. 1990. Vol: 37. Pág. 339-345.
Durán-Guardeño, Antonio José:
THE STIELTJES MOMENT PROBLEM FOR RAPIDLY DECREASING FUNCTIONS. Proceedings of the American Mathematical Society. 1989. Vol: 107. Pág. 731-741.