2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57225A new kind of deformed calculus was introduced recently in studying of parabosonic coordinate representation. Based on this deformed calculus, a new deformation of Legendre polynomials is proposed in this paper, some properties and applications of which are also discussed.11 pages, LaTeXMathematical Physicstext