doi:10.3390/math9090984engMiana P.J.Romero N.Fractional generalizations of Rodrigues-type formulas for Laguerre functions in function spacesART-2021-126615Generalized Laguerre polynomials, L(a) n, verify the well-known Rodrigues’ formula. Using Weyl and Riemann–Liouville fractional calculi, we present several fractional generalizations of Rodrigues’ formula for generalized Laguerre functions and polynomials. As a consequence, we give a new addition formula and an integral representation for these polynomials. Finally, we introduce a new family of fractional Lebesgue spaces and show that some of these special functions belong to them. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.2021http://zaguan.unizar.es/record/11795710.3390/math9090984http://zaguan.unizar.es/record/117957oai:zaguan.unizar.es:117957Mathematics 9, 9 (2021), [15 pp]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess