Page 382 - Determinants and Their Applications in Mathematical Physics

Bibliography 367

A.G. Shannon, Determinants and recurrences of arbitrary order. Gac. Mat. I.
Ser. 31 (1979), 99–100. [Zbl 484 (1983), 15005.]
V.L. Shapiro, A theorem on a special class of near-Vandermonde determinants.
Am. Math. Monthly 60 (1953), 697–699. [MR 15 (1954), 495.]
A. Sharma, E.G. Straus, On the irreducibility of a class of Euler–Frobenius
polynomial. Canad. Math. Bull. 17 (1974), 265–273. [MR 50 (1975), 13990.]
Z.M. Shen, Y.W. Rong, A generalization of Hadamard’s determinantal inequality.
J. China Univ. Sci. Technol. 13 (1983), 272–274. [MR 85j: 15008.]
L.R. Shenton, A determinantal expansion of a class of definite integral. I. Proc.
Edin. Math. Soc. 9 (1953), 43–52. [MR 15 (1954), 781]; II. 10 (1954), 78–91.
[MR 16 (1955), 575]; III. 12 (1956), 134–140. [MR 17 (1956), 844].
O. Shisha, Tchebycheff systems and best partial bases. Pacific J. Math. 86 (1980),
579–592. [Zbl 437 (1981), 41032.]
B. Silbermann, Some remarks on the asymptotic behaviour of Toeplitz determi-
nants. Applicable Anal. 11 (1980/81), 185–197. [MR 82j: 47048.]
J.A. Silva, A theorem on cyclic matrices. Duke Math. J. 18 (1951), 821–825. [MR
13 (1952), 424.]
G.D. Simionescu, Properties of determinants formed with similar powers of the
terms of an arithmetic progression (in Romanian). Gaz. Mat. (Bucharest) 86
(1981), 406–411. [MR 83i: 15013.]
B. Simon, Notes on infinite determinants of Hilbert space operators. Adv. Math.
24 (1977), 244–273. [MR 58 (1979), 2401.]
S. Simons, Measurable relations, pentagonal arrays and the determinants of prob-
abalistic integrals. Linear Multilinear Alg. 13 (1983), 41–66. [Zbl 511 (1984),
62034.]
V.N. Singh, Solution of a general homogeneous linear difference equation. J.
Austral. Math. Soc. B22 (1980), 53–57; Corrigendum, B22 (1980), 254. [Zbl
441 (1981), 39002, 39003.]
J. St.-C.L. Sinnadurai, On Gram’s and Hadamard’s determinant inequalities.
Math. Gaz. 47 (1963), 34–35.
S. Sirianunpiboon, S.D. Howard, S.K. Roy, A note on the Wronskian form of
solutions of the KdV equation. Phys. Lett. A 134 (1988), 31–33. [PA 92
(1989), 39211; MR 89k: 35230.]
W. Solak, Z. Szydelko, Application of Gram’s determinant for solution of linear
matrix equation. Zesz. Nauk. Akad. G´orn.–Hutn. Stanislaw Staszic 730, Mat.
Fiz. Chem. 42 (1979), 63–66. [Zbl 432 (1981), 15009.]
R. Stalley, A generalization of the geometric series. Am. Math. Monthly 56 (1949),
325–327.
F.M. Stein, M.S. Henry, L.G. King, Determinantal representations of recursion
relations for certain orthogonal polynomials. Am. Math. Monthly 73 (1966),
382–385. [Zbl 154 (1968), 65.]
P.R. Stein, On an identity from classical invariant theory. Linear Multilinear Alg.
11 (1982), 39–44. [Zbl 478 (1982), 15021.]
M. Stojakovic, Sur les d´eterminants de matrices rectangulaire. Bull. Soc. Roy.
Sci. Li`ege 21 (1952), 303–305. [Zbl 48 (1953), 249; MR 14 (1953), 443.]