Title of program: CCFS Catalogue number: ABBO Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland (see application form in this issue) Computer: IBM 3083J24; Installation: University of the Witwatersrand Computer Centre Operating system: VM/SP HPO 4.2 Programming language used: FORTRAN VS LEVEL 1.4.1, LANGLVL (77) High speed storage required: 27412 bytes for OPT (0) compile No. of bits in a byte: 8 Peripherals used: card reader, line printer No. of cards in combined program and test deck: 682 Nature of the problem Numerical calculation of the coefficients for a single series obtained as the product of two series. Method of solution Application of standard results for Chebyshev polynomials and Fourier series. Restrictions on the complexity of the problem Length of the series is not limited in the subroutine package but is limited to 41 terms in the main driver, I/O and test programs. Typical running times Dependent on required range and accuracy: for the test cases it is 0.15 s.