Area, IDimitrov, D. K.Godoy, E.Ronveaux, A.2014-05-202014-05-202006-04-01Journal of Computational and Applied Mathematics. Amsterdam: Elsevier B.V., v. 188, n. 1, p. 65-76, 2006.0377-0427http://hdl.handle.net/11449/21717The number of zeros in (- 1, 1) of the Jacobi function of second kind Q(n)((alpha, beta)) (x), alpha, beta > - 1, i.e. The second solution of the differential equation(1 - x(2))y (x) + (beta - alpha - (alpha + beta + 2)x)y' (x) + n(n + alpha + beta + 1)y(x) = 0,is determined for every n is an element of N and for all values of the parameters alpha > - 1 and beta > - 1. It turns out that this number depends essentially on alpha and beta as well as on the specific normalization of the function Q(n)((alpha, beta)) (x). Interlacing properties of the zeros are also obtained. As a consequence of the main result, we determine the number of zeros of Laguerre's and Hermite's functions of second kind. (c) 2005 Elsevier B.V. All rights reserved.65-76engJacobi functions of second kindzerosJacobi polynomialsinterlacing properties of zerosLaguerre and Hermite functions of second kindArtigo10.1016/j.cam.2005.03.055WOS:000234789100005Acesso abertoWOS000234789100005.pdf1681267716971253