Page 359 - Determinants and Their Applications in Mathematical Physics

344 Bibliography

T.H. Andres, W.D. Hoskins, R.G. Stanton, The determinant of a class of skew-
symmetric Toeplitz matrices. Linear. Alg. Applic. 14 (1976), 179–186. [MR
58 (1979), 5713; Zbl 416 (1980), 15005.]
G.E. Andrews, W.H. Burge, Determinantal identities. Pacific J. Math. 158
(1993), 1–14.
J.W. Archbold, Algebra, 4th edition, Pitman, London, 1970.
N. Asano, Y. Kato, Fredholm determinant solution for the inverse scattering
transform of the N × N Zakharov-Shabat equation. Prog. Theor. Phys. 83
(1990), 1090–1107. [MR 91k: 34133.]
N.B. Backhouse, A.G. Fellouris, On the superdeterminant function for superma-
trices. J. Phys. A 17 (1984), 1389–1395. [MR 86c: 58014.]
G.A. Baker, P.R. Graves-Morris, Pad´ Approximants, Parts 1, 2. Encyclopedia of
e
Mathematics and Its Applications, Vols. 13 and 14, Addison-Wesley, Reading,
MA, 1981. [MR 83a: 41009a, b.]
M. Barnebei, A. Brini, Symmetrized skew-determinants. Commun. Alg. 15
(1987), 1455–1468. [MR 89a: 20010.]
W.W. Barrett, C.R. Johnson, Determinantal formulae for matrices with sparse
inverses. Linear Alg. Applic. 56 (1984), 73–88. [Zbl 523 (1984), 15008.]
E. Barton, Multiplication of determinants. Math. Gaz. 47 (1963), 54–55.
E. Basor, Asymptotic formulas for Toeplitz determinants. Trans. Am. Math. Soc.
239 (1978), 33–65. [MR 58 (1979), 12484.]
E.L. Basor, A localization theorem for Toeplitz determinants. Indiana Univ.
Math. J. 28 (1979), 975–983. [MR 81e: 47029.]
E. Basor, J.W. Helton, A new proof of the Szeg¨o limit theorem and new results for
Toeplitz operators with discontinuous symbol, J. Operator Theory 3 (1980),
23–39. [MR 81m: 47042.]
E. Basor, H. Widom, Toeplitz and Wiener-Hopf determinants with piecewise
continuous symbols. J. Funct. Anal. 50 (1983), 387–413. [MR 85d: 47026.]
W. Bauhardt, C. P¨oppe, The Fredholm determinant method for discrete inte-
grable evolution equations. Lett. Math. Phys. 13 (1987), 167–178. [MR 88g:
35165.]
M Bautz, Uber (0, 1)-determinanten mit grossen absolutwerten. Wiss. Z. Tech.
Hochsch. Ilmenau 27 (1981), 39–55. [MR 82m: 15010; Zbl 481 (1982), 15008.]
G. Baxter, P. Schmidt, Determinants of a certain class of non-Hermitian Toeplitz
matrices. Math. Scand. 9 (1961), 122–128. [MR 23A (1962), 3949.]
N. Bebiano, J.K. Merikoski, J. da Providencia, On a conjecture of G.N. de Oliveira
on determinants. Linear Multilinear Alg. 20 (1987), 167–170. [MR 88b: 15005.]
E.F. Bechenbach, R. Bellman, On the positivity of circulant and skew-circulant
determinants. General Inequalities. Proc. First Internat. Conf. Math. Res.
Inst. Oberwalfach 1976, Birkh¨auser, Bessel, 1978, Vol. 1, pp. 39–48. [MR 58
(1979), 16715.]
E.F. Beckenbach, W. Seidel, O. Szasz, Recurrent determinants of Legendre and
ultaspherical polynomials. Duke Math. J. 18 (1951), 1–10. [MR 12 (1951),
702.]