A Recurrence Scheme for Converting from One Orthogonal Expansion into Another A generalization of a scheme of Hamming for converting a polynomial Pn(x) into a Chebyshev series is combined with a recurrence scheme of Clenshaw for summing any finite series whose terms satisfy a three-term recurrence formula. CACM November, 1973 Salzer, H. E. orthogonal expansions, series interconversion, recurrence schemes, Hamming recurrence, Clenshaw recurrence, three-term recurrence, five-term recurrence, Chebyshev series 5.12 CA731116 JB January 19, 1978 4:16 PM 2410 5 2410 2410 5 2410 2410 5 2410