2016-05-312016-05-311998Arvesú Carballo, J., Álvarez Nodarse, R., Marcellán Español, F. y Kwon, K.H. (1998). Some extension of the Bessel type orthogonal polynomials. Integral Transforms and Special Functions, 7 (3-4), 191-214.1065-24691476-8291http://hdl.handle.net/11441/41730We consider the perturbation of the classical Bessel moment functional by the addition of the linear functional M0 (x) + M1 0 (x), where M0 and M1 2 IR. We give necessary and su cient conditions in order for this functional to be a quasi-de nite functional. In such a situation we analyze the corresponding sequence of monic orthogonal polynomials B ;M0;M1 n (x). In particular, a hypergeometric representation (4F2) for them is obtained. Furthermore, we deduce a relation between the corresponding Jacobi matrices, as well as the asymptotic behavior of the ratio B ;M0 ;M1 n (x)=B n (x), outside of the closed contour containing the origin and the di erence between the new polynomials and the classical ones, inside.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Orthogonal polynomialsBessel polynomialshypergeometric functionPerturbed orthogonal polynomialsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1080/10652469808819199https://idus.us.es/xmlui/handle/11441/41730