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Your search keyword '"Hartung, Ferenc"' showing total 1 results
Start Over Author "Hartung, Ferenc" Topic fractional calculus Publisher mdpi
1 results on '"Hartung, Ferenc"'

1. Fractional Generalizations of Rodrigues-Type Formulas for Laguerre Functions in Function Spaces.

Author

Miana, Pedro J., Romero, Natalia, and Hartung, Ferenc

Subjects
FUNCTION spaces, LAGUERRE polynomials, FRACTIONAL calculus, GENERALIZATION
Abstract

Generalized Laguerre polynomials, L n (α) , 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. [ABSTRACT FROM AUTHOR]

Published
2021
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