1. A. A. Markov, O Nekotorykh Prilozheniiakh Algebraicheskikh Nepreryvnykh Drobeǐ. [On some Applications of Algebraic Continued Fractions], Doctoral diss., St. Petersburg, 1884, p. 68; A. A. Markov, “Sur la méthode de Gauss pour le calcul approche des intégrales,” Math. Annalen, v. 25, 1885, p. 429; and P. Mansion, “Détermination du reste dans la formule de quadrature de Gauss,” Acad. Royale d. Sci. d. Lettres. et d. Beaux-Arts de Belgique, Bulletins, s. 3, v. 11, 1886, p. 303. Also in A. A. Markov, Differenzenrechnung, Leipzig, 1896, p. 68; Gauss’s numerical results are given on p. 70.
2. These values up to 𝑈₇ were given by Gauss, Werke, v. 3, p. 193-195.
3. On an expansion of the remainder in the Gaussian quadrature formula;Uspensky, J. V.;Bull. Amer. Math. Soc.,1934
4. Among references to topics in paper (i) are the following: L. M. Milne-Thomson, The Calculus of Finite Differences, London, Macmillan, 1933. Chap. 7, p. 157-159
5. H. T. Davis, Table of the Higher Mathematical Functions, Bloomington, Ind., v. 1, 1933, p. 73-77