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.;
2022

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.).
2022
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1534254
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