$$H_q$$-Semiclassical orthogonal polynomials via polynomial mappings

Author:

Castillo K.,de Jesus M. N.,Marcellán F.,Petronilho J.ORCID

Funder

Fundação para a Ciência e a Tecnologia

Agencia Estatal de Investigación

Fundação para a Ciência e Tecnologia

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference34 articles.

1. Álvarez-Nodarse, R.: Polinomios hipergeométricos y $$q$$-polinomios, Monografias del Seminario Matemático García de Galdeano 26, (2003). (Revised edition: 2014.) (In Spanish)

2. Barrucand, P., Dickinson, D.: On cubic transformations of orthogonal polynomials. Proc. Amer. Math. Soc. 17, 810–814 (1966)

3. Bouras, B., Marcellán, F.: Quadratic decomposition of a family of $$H_q$$-semiclassical orthogonal polynomial sequences. J. Differ. Equ. Appl. 18(12), 2039–2057 (2012)

4. Castillo, K., de Jesus, M.N., Petronilho, J.: On semiclassical orthogonal polynomials via polynomial mappings. J. Math. Anal. Appl. 455, 1801–1821 (2017)

5. Charris, J., Ismail, M.E.H.: On sieved orthogonal polynomials VII: generalized polynomial mappings. Trans. Amer. Math. Soc. 340, 71–93 (1993)

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