^{page 304 note *} Annais da Faculdade de Sciências do Porto (1929), t. xvi, N. 1, p. 25.

^{page 304 note †} Proceedings of the Royal Society of Edinburgh (1926–27), vol. xlvii, part i, pp. 11–33.

^{page 305 note *} J. Geronimus, loc. cit., p. 28.

^{page 305 note †} Shohat, J., “A simple method for normalizing Tchebycheff polynomials,” Bulletin of the American Mathematical Society (1927), p. 431.Google Scholar

^{page 305 note ‡} Whittaker, E. T. and Watson, G. N., A Course of Modern Analysis (1927), p. 264.Google Scholar

^{page 305 note §} Composto, S., “Sui determinanti ‘Wronskiani fattoriali,’” Giornale di Matematica (1919), pp. 22–30.Google Scholar

^{page 306 note *} Muir, T., “The persymmetric determinants whose elements are in harmonical progression,” Messenger of Mathematics (1906), pp. 85–93.Google Scholar

^{page 306 note †} G. Polya und G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Bd. ii, SS. 94, 294.

^{page 307 note *} Hilbert, D., “Ein Beitrag zur Theorie des Legendreschen Polynoms,” Acta Mathematica (1894), SS. 155–160.CrossRefGoogle Scholar

^{page 307 note †} Dingler, H., “Über eine Determinante,” Archiv der Mathematik und Physik (1910), SS. 264–267.Google Scholar

^{page 307 note ‡} S. Composto, loc. cit.

^{page 307 note §} Muir, T., “Note on unimodular and other persymmetric determinants,” Transactions of the Royal Society of South Africa (1919), pp. 95–100.CrossRefGoogle Scholar

^{page 308 note *} Szegö, G., “Über die Entwickelung einer analytischen Funktion nach den Polynomen eines Orthogonalsystems,” Mathematische Annalen (1920), Bd. lxxxii. S. 207.Google Scholar

^{page 308 note †} If we reduce our interval to (−1, +1) and suppose that p(−x) = p(x), then

Cf. J. Geronimus, “On a set of polynomials,” Annals of Mathematics (in the press).

^{page 309 note *} Petr, K., “O determinantu z Bernoulliskych funkci,” Časopis pro pěstováni math, a fys. (1903), pp. 9–12.Google Scholar

^{page 309 note †} Tchebycheff, P., “Sur l'interpolation,” Œuvres, t. i, pp. 547, 552.Google Scholar