Area Carracedo, Iván CarlosDjida, Jean DanielLosada Rodríguez, JorgeNieto Roig, Juan José2020-04-172020-04-172015Area, I., Djida, J., Losada, J. and Nieto, J., 2015. On Fractional Orthonormal Polynomials of a Discrete Variable. Discrete Dynamics in Nature and Society, 2015, pp.1-7.1022-6508http://hdl.handle.net/10347/21506The work of I. Area has been partially supported by the Ministerio de Economía y Competitividad of Spain under Grant MTM2012–38794–C02–01 and cofinanced by the European Community Fund FEDER. Juan J. Nieto and J. Losada also acknowledge partial financial support by the Ministerio de Economía y Competitividad of Spain under Grants MTM2010–15314 and MTM2013–43014–P and XUNTA under Grant R2014/002 and cofinanced by the European Community Fund FEDERA fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.engCopyright © 2015 I. Area et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly citedhttps://creativecommons.org/licenses/by/3.0/journal article10.1155/2015/1413251607-887Xopen access