Determinants and Their Applications in Mathematical Physics

Bibliography 371

H. Wayland, Expansion of determinantal equations into polynomial form.Quart.

Appl. Math. 2 (1945), 277–306. [MR 6 (1945), 218.]

A. Weinmann, On the square root of certain determinants.J. Lond. Math. Soc.

35 (1960), 265–272. [MR24A(1962), 124.]

H.-J. Werner, On extensions of Cramer’s rule for solutions of restricted linear

systems.Linear Multilinear Alg. 15 (1984), 319–330. [Zbl 544 (1985), 15002;

MR 87b: 15004.]

R.R. Whitehead, A. Watt, On the avoidance of cancellations in the matrix

moment problem.J. Phys. A 14 (1981), 1887–1892. [MR 82i: 15031.]

E.T. Whittaker, On the theory of continued fractions.Proc. Roy. Soc. Edin. 36

(1915–1916), 243–255.

E.T. Whittaker, G.N. Watson,Modern Analysis, Cambridge University Press,

Cambridge, 1952.

H. Widom, Toeplitz determinants with singular generating functions.Am. J.

Math. 95 (1973), 333–383. [MR 48 (1974), 9441.]

H. Widom, Asymptotic behaviour of block Toeplitz matrices and determinants.

1.Adv. Math. 13 (1974), 284–322; 2.Adv. Math. 21 (1976), 1–29. [MR 53

(1977), 13266a, 13266b.]

L. Wille, H. Verschelde, P. Phariseau, A new solvable one-dimensional crystal

model.J. Phys. A 16 (1983), L771–775. [PA 87 (1984), 25201.]

J. Wilmet, Determinant de Hankel–Kronecker de la suite des factorielles.Bull.

Soc. Math. Belg.A30(1978), 11–14. [Zbl 475 (1982), 05007; MR 84b: 05014.]

R. Wilson, Determinantal criteria for meromorphic functions.Proc. Lond. Math.

Soc. 4 (1954), 357–374.

R. Wilson, Note on a previous paper.Quart. J. Math. 5 (1954), 99–101.

M. Wojtas, A property of certain symmetric determinants.Prace Mat. 5 (1961),

27–32. [MR 24 A (1962), 24.]

A.C.T. Wu, Cartan–Gram determinants for the simple Lie groups.J. Math. Phys.

23 (1982), 2019–2021. [PA 86 (1983), 21022.]

X.H. Xu, A new approach to Dale’s equation.Commun. Theoret. Phys. 5 (1984),

639–642. [MR 87c: 83024.]

Q.A.M.M. Yahya, A new expression for Chebyshev polynomials.Port. Math. 24

(1965), 169–172. [Zbl 154 (1968), 65.]

O.S. Yakovlev, A generalization of determinant identities (Russian).Ukrain. Mat.

Z. 30 (1978), 850–854, English translation: Plenum Press, New York, 1979.

[MR 80b: 15014.]

M. Yamazaki, On the Kramer–Neugebauer spinning mass solutions. Prog.

Theoret. Phys. 69 (1983), 503–515. [PA 86 (1983), 69943.]

S. Yamazaki, On the system of nonlinear differential equations ̇yk=yk(yk+1−

yk− 1 ).J. Phys. A: Math. Gen. 20 (1987), 6237–6241. [MR 89d: 34020; PA 91

(1988), 36330.]

F. Yuasa, B ̈acklund transformations of the 2-dimensional Toda lattice and Ca-

sorati’s determinants.J. Phys. Soc. Japan 56 (1987), 423–424. [MR 88c:

35145.]