This paper provides closed-form formulas for coefficients of convergents of some popular continued fraction expansions (CFEs) approximatingsν, with-1<ν<1, and(2/T)ν((z-1)/(z+1))ν. The expressions of the coefficients are given in terms ofνand of the degreenof the polynomials defining the convergents. The formulas greatly reduce the effort for approximating fractional operators and show the equivalence between two well-known CFEs in a given condition.
No takes yet. Share an insight, caveat, or question.
Guido Maione (2013) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: