Leung, Andrew Yee TakAndrew Yee TakLeung2022-05-202022-05-201990https://repository.sfu.edu.hk/handle/sfu/3255Felgar's recurrence formula for ∝ θφ dξ was corrected by the author recently. While the new formulae are correct, the table quoted from Gartner and Olgac [J. Sound Vibr. 34, 481–489 (1982)] for the integration constants is found to be incorrect. Because of the importance of the correctness of the admissible comparison functions in a Rayleigh-Ritz analysis, the formulae are rederived with detailed immediate steps, so that a cautious user may check for any possible errors, including printing errors, before implementation. Methods to generate the coefficients of the formulae are discussed and a computer program for the integration by parts many times is given.enjournal article10.1016/0045-7949(90)90319-W