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.).File in questo prodotto:
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