Asian Journal of Mathematics & Statistics1994-54182077-2068Asian Network for Scientific Information10.3923/ajms.2019.1.7GanieJavid Ahmad JainRenu 12019121The legendre polynomials belong to rich class of orthogonal polynomials which have been extensively investigated because of their applications in various fields. The main objective of this study was to derive the discrete Legendre polynomials as they represent the discrete functions or discrete data. In this study the difference equation of discrete Legendre polynomials was derived. Firstly, introduced the discrete Legendre polynomial of integer order about point s by using Taylor’s formula and some of its properties and later on it was shown that the current system satisfied Rodrigue’s formula.]]>Kac, V.G. and P. Cheung,2002Lorente, M.,2003Page, D.N.,1993Youm, D.,2000Nikiforov, A.F., S.K. Suslor and V.B. Uvarov,1991Atakishiyev, N.M., E.I. Jafarov, S.M. Nagiyev and K.B. Wolf,1998Atakishiev, N.M. and S.K. Suslov,1990Atakishiyev, N.M., G.S. Pogosyan, L.E. Vicent and K.B. Wolf,2001Atakishiyev, N.M., G.S. Pogosyan and K.B. Wolf,2003Atakishiyev, N.M., L.E. Vicent and K.B. Wolf,1999Atakishiyev, N.M. and K.B. Wolf,1997Atakishiyev, N.M., G.S. Pogosyan and K.B. Wolf,2003Atakishiyev, N.M., G.S. Pogosyan, L.E. Vicent and K.B. Wolf,2001Pan, V.Y.,1997Bell, W.W.,1967Arfken, G.,1970Robert, H.D. and P.W. James,1960Hollas, J.M.,1992Jackson, J.D.,1962Park, J.H.,1999Bonita, A.L. and W.O. Ralph,2007Cuctha, T.J.,2015Raegan, J.H. and P. Allan,2004Abramowitz, M. and I.A. Stegun,1965