On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1

2016-05-312016-05-312002-10Álvarez Nodarse, R., Atakishiyeva Kyazim Zade, M. y Atakishiyev Mektiyev, N. (2007). On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1. Boletín de la Sociedad Matemática Mexicana, 8 (2), 127-139.1405-213X2296-4495http://hdl.handle.net/11441/41713We study a polynomial sequence of q-extensions of the classical Hermite polynomials Hn(x), which satisfi es continuous orthogonality on the whole real line R with respect to the positive weight function. This sequence can be expressed either in terms of the q-Laguerre polynomials L n (x; q), = 1=2, or through the discrete q-Hermite polynomials ~hn(x; q) of type II.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://idus.us.es/xmlui/handle/11441/41713