We investigate the interplay between the Caputo fractional operators (Formula presented.) and Fourier–Legendre expansions of hypergeometric functions, resulting in transformation formulas for (Formula presented.) series with quarter-integer parameters and in explicit evaluations of many series, including: (Formula presented.).
Symbolic computations via Fourier–Legendre expansions and fractional operators
Cantarini M.;
2021-01-01
Abstract
We investigate the interplay between the Caputo fractional operators (Formula presented.) and Fourier–Legendre expansions of hypergeometric functions, resulting in transformation formulas for (Formula presented.) series with quarter-integer parameters and in explicit evaluations of many series, including: (Formula presented.).File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
