@article{10902/14453, year = {2018}, url = {http://hdl.handle.net/10902/14453}, abstract = {Asymptotic approximations of Jacobi polynomials are given for large values of the Beta-parameter and of their zeros. The expansions are given in terms of Laguerre polynomials and of their zeros. The levels of accuracy of the approximations are verified by numerical examples.}, organization = {This work was supported by Ministerio de Econom a y Competitividad, project MTM2015-67142-P (MINECO/FEDER, UE). NMT thanks CWI, Amsterdam, for scienti c support.}, publisher = {Department of Applied Research Institute of Mathematics of National Academy of Science of Ukraine}, publisher = {SIGMA 14 (2018), 07}, title = {Asymptotic Expansions of Jacobi Polynomials for Large Values of Beta}, author = {Gil Gómez, Amparo and Segura Sala, José Javier and Temme, Nico M.}, }