117957 20230519145559.0 doi 10.3390/math9090984 sideral 126615 ART-2021-126615 eng Miana P.J. Universidad de Zaragoza (orcid)0000-0001-9430-343X Fractional generalizations of Rodrigues-type formulas for Laguerre functions in function spaces 2021 Access copy available to the general public Unrestricted Generalized 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. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.592 2021 MATHEMATICS 21 / 333 = 0.063 2021 Q1 T1 0.538 2021 Computer Science (miscellaneous) 2021 Q2 Engineering (miscellaneous) 2021 Q2 2.9 2021 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Romero N. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 9, 9 (2021), [15 pp] Mathematics (Basel) Mathematics 2227-7390 318255 http://zaguan.unizar.es/record/117957/files/texto_completo.pdf Versión publicada 1766639 http://zaguan.unizar.es/record/117957/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:117957 articulos driver 2023-05-18-15:58:42 ARTICLE