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Integral Transforms and Special Functions Volume 9, 2000 - Issue 1
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Original Articles

Classification of all δ-Coherent Pairs

I. Area Departmento de Matemática Aplicada, E.T.S.I. Industriales y Minas, Universidad de Vigo, Campus Lagoas-Marcosende, Vigo, 36200, Spain
,
E. Godoy Departmento de Matemática Aplicada, E.T.S.I. Industriales y Minas, Universidad de Vigo, Campus Lagoas-Marcosende, Vigo, 36200, Spain
&
F. Marcellán Departmento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III, C. Butarque, 15, Leganés-Madrid, 28911, Spain
Pages 1-18 | Received 22 Jun 1998, Published online: 03 Apr 2007

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Read on this site (5)

Mabrouk Sghaier & Sabrine Hamdi. (2021) Some results on Dunkl-coherent Pairs. Integral Transforms and Special Functions 32:11, pages 863-882.
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A. Draux. (2016) Δ-Coherent pairs of linear functionals and Markov-Bernstein inequalities. Journal of Difference Equations and Applications 22:11, pages 1583-1608.
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A. Draux. (2016) On quasi-orthogonal polynomials of order r. Integral Transforms and Special Functions 27:9, pages 747-765.
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F. Marcellán & N.C. Pinzón-Cortés. (2013) (1,1)-Dω-coherent pairs. Journal of Difference Equations and Applications 19:11, pages 1828-1848.
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I. Area, E. Godoy & F. MarcellÁn. (2003) \Delta -Coherent Pairs and Orthogonal Polynomials of a Discrete Variable. Integral Transforms and Special Functions 14:1, pages 31-57.
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Articles from other publishers (10)

A. I. Aptekarev, A. Draux & D. N. Tulyakov. (2018) On Asymptotics of the Sharp Constants of the Markov–Bernshtein Inequalities for the Sobolev Spaces. Lobachevskii Journal of Mathematics 39:5, pages 609-622.
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Alexander Ivanovich Aptekarev, Andre Draux & Dmitriy Nikolaevich Tulyakov. (2017) On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces with coherent weights. Keldysh Institute Preprints:59-e, pages 1-20.
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R. Álvarez-Nodarse, J. Petronilho, N.C. Pinzón-Cortés & R. Sevinik-Adıgüzel. (2015) On linearly related sequences of difference derivatives of discrete orthogonal polynomials. Journal of Computational and Applied Mathematics 284, pages 26-37.
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Luis Garza, Francisco Marcellán & Natalia C. Pinzón-Cortés. (2013) -Coherent Pairs on the Unit Circle . Abstract and Applied Analysis 2013, pages 1-8.
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R.S. Costas-Santos & J.J. Moreno-Balcázar. (2011) The semiclassical Sobolev orthogonal polynomials: A general approach. Journal of Approximation Theory 163:1, pages 65-83.
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Francisco Marcellán & Juan José Moreno Balcázar. (2006) Asymptotics and Zeros of Sobolev Orthogonal Polynomials on Unbounded Supports. Acta Applicandae Mathematicae 94:2, pages 163-192.
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I. Area, E. Godoy, F. Marcellán & J.J. Moreno-Balcázar. (2005) -Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation . Journal of Computational and Applied Mathematics 178:1-2, pages 21-36.
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K.H. Kwon, J.H. Lee & F. Marcellan. (2004) GENERALIZED Δ-COHERENT PAIRS. Journal of the Korean Mathematical Society 41:6, pages 977-994.
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R. Álvarez-Nodarse & J. Petronilho. (2004) On the Krall-type discrete polynomials. Journal of Mathematical Analysis and Applications 295:1, pages 55-69.
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I. Area, E. Godoy & F. Marcellán. (2002) q-Coherent pairs and q-orthogonal polynomials. Applied Mathematics and Computation 128:2-3, pages 191-216.
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