Page 376 - Determinants and Their Applications in Mathematical Physics

Bibliography 361

K.V. Menon, A determinant of symmetric forms. Discrete Maths. 48 (1984),
87–93. [MR 86b: 15007.]
K.V. Menon, Note on some determinants of q-binomial numbers. Discrete Math.
61 (1986), 337–341. [MR 87m: 05016.]
R. Merris, Extensions of the Minkowski determinant theorem. Portugal Math. 38
(1982), 149–153. [Zbl 497 (1983), 15004; MR 84c: 15009.]
R. Merris, Extension of the Hadamard determinant theorem. Israel J. Math. 46
(1983), 301–304. [MR 85g: 15014.]
L.M. Milne-Thomson, Calculus of Finite Differences, Macmillan, New York, 1933.
H. Minc, Bounds for permanents and determinants. Linear Multilinear Alg. 9
(1980), 5–16. [MR 81k: 15008; Zbl 435 (1981), 15006.]
J. Minkus, Circulants and Horadam’s Sequences. A Collection of Manuscripts
Related to the Fibonacci Sequence, 48–52. Fibonacci Assoc., Santa Clara, CA,
1980. [MR 82i: 15009; Zbl 524 (1984), 15006.]
L. Mirsky, An Introduction to Linear Algebra, Oxford University Press, Oxford,
1955.
L. Mirsky, On a generalization of Hadamard’s determinantal inequality due to
Szasz. Arch. Math. 8 (1957), 174–175. [MR 19 (1958), 936.]
P. Misra, R.V. Patel, A determinant identity and its application in evaluating
frequency response matrices. SIAM J. Matrix Anal. Applic. 9 (1988), 248–255.
[MR 88h: 00009.]
S. Miyake, Y. Ohta, J. Satsuma, A representation of solutions for the KP hierachy
and its algebraic structure. J. Phys. Soc. Japan 59 (1990), 48–55. [PA 93
(1990), 65448.]
R. Mneimn´e, Formula de Taylor pour le d´eterminant et deux applications. Linear
Alg. Applic. 112 (1989), 39–47. [MR 89m: 15004.]
B.L. Moiseiwitsch, Integral Equations, Longman, London, 1977, pp. 126–134.
J.W. Moon, Some determinant expansions and the matrix-tree theorem. Discrete
Math. 124 (1994), 163–171.
D.A. Moran, Solution of Problem 3087 (1924), proposed by H.W. Bailey [Area
of a plane polygon]. Am. Math. Monthly 68 (1961), 935–937.
M. Mori, Fredholm determinant for piecewise linear transformations. Osaka J.
Math. 27 (1990), 81–116. [MR 90a: 28023.]
A.O. Morris, A note on symmetric functions. Am. Math. Monthly 71 (1964),
50–53.
K.R. Mount, A remark on determinantal loci. J. Lond. Math. Soc. 42 (1967),
595–598. [MR 35 (1968), 6674].
G. M¨uhlbach, On extending algebraic identities. Linear Alg. Applic. 132 (1990),
145–162. [MR 91f: 15022; Zbl 702 (1991), 15002.]
G. M¨uhlbach, M. Gasca, A generalization of Sylvester’s identity on determinants
and some applications. Linear Alg. Applic. 66 (1985), 221–234. [MR 86h:
15006; Zbl 576 (1986), 15005.]
T. Muir, The History of Determinants in the Historical Order of Development.
Vol. I, Origins–1840, Macmillan, New York 1906; Vol II, 1840–1860, Macmil-
lan, New York, 1911; Vol. III, 1860–1880, Macmillan, New York, 1920; Vol. IV,