Bracciali, Cleonice Fátima [UNESP]Perez, Teresa E.Pinar, Miguel A.2014-12-032014-12-032013-10-01Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 32, n. 3, p. 537-547, 2013.1807-0302http://hdl.handle.net/11449/112921Classical orthogonal polynomials can be characterized in terms of the corresponding Stieltjes function. We consider the construction of a Stieltjes function in terms of the falling factorials for discrete classical orthogonal polynomials (Charlier, Krawtchouk, Meixner, and Hahn). This Stieltjes function associated with classical orthogonal polynomials of a discrete variable is solution of a non-homogeneous difference equation. That property characterizes the discrete classical measures. In addition, an hypergeometric expression for the Stieltjes function is obtained in all the discrete classical cases.537-547engDifference equationsStieltjes functionsClassical orthogonal polynomials of a discrete variableArtigo10.1007/s40314-013-0035-5WOS:000326103500013Acesso restrito83003224526224670000-0002-6823-4204