Fractional generalizations of Rodrigues-type formulas for Laguerre functions in function spaces

Miana P.J. (Universidad de Zaragoza) ; Romero N.

Resumen: 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.

Idioma: Inglés

DOI: 10.3390/math9090984

Año: 2021

Publicado en: Mathematics 9, 9 (2021), [15 pp]
ISSN: 2227-7390

Factor impacto JCR: 2.592 (2021)

Categ. JCR: MATHEMATICS rank: 21 / 333 = 0.063 (2021) - Q1 - T1

Factor impacto CITESCORE: 2.9 - Engineering (Q2) - Mathematics (Q2) - Computer Science (Q3)

Factor impacto SCIMAGO: 0.538 - Computer Science (miscellaneous) (Q2) - Engineering (miscellaneous) (Q2)

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)