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000117957 001__ 117957 000117957 005__ 20230519145559.0 000117957 0247_ $$2doi$$a10.3390/math9090984 000117957 0248_ $$2sideral$$a126615 000117957 037__ $$aART-2021-126615 000117957 041__ $$aeng 000117957 100__ $$0(orcid)0000-0001-9430-343X$$aMiana P.J.$$uUniversidad de Zaragoza 000117957 245__ $$aFractional generalizations of Rodrigues-type formulas for Laguerre functions in function spaces 000117957 260__ $$c2021 000117957 5060_ $$aAccess copy available to the general public$$fUnrestricted 000117957 5203_ $$aGeneralized 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. 000117957 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000117957 594__ $$a2.9$$b2021 000117957 590__ $$a2.592$$b2021 000117957 592__ $$a0.538$$b2021 000117957 591__ $$aMATHEMATICS$$b21 / 333 = 0.063$$c2021$$dQ1$$eT1 000117957 593__ $$aComputer Science (miscellaneous)$$c2021$$dQ2 000117957 593__ $$aEngineering (miscellaneous)$$c2021$$dQ2 000117957 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000117957 700__ $$aRomero N. 000117957 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000117957 773__ $$g9, 9 (2021), [15 pp]$$pMathematics (Basel)$$tMathematics$$x2227-7390 000117957 8564_ $$s318255$$uhttps://zaguan.unizar.es/record/117957/files/texto_completo.pdf$$yVersión publicada 000117957 8564_ $$s1766639$$uhttps://zaguan.unizar.es/record/117957/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000117957 909CO $$ooai:zaguan.unizar.es:117957$$particulos$$pdriver 000117957 951__ $$a2023-05-18-15:58:42 000117957 980__ $$aARTICLE
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