Determinants and Their Applications in Mathematical Physics

346 Bibliography

H.W. Braden, Periodic functional determinants.J. Phys. A Math. Gen. 18

(1985), 2127–2140. [Zbl 594 (1987), 34026.]

L. Brand,Differential and Difference Equations, Wiley, New York, 1966.

J.P. Brennan, J. Wolfskill, Remarks on the probability the determinant of an

n×nmatrix over a finite field vanishes.Discrete Math. 67 (1987), 311–313.

[MR 86a: 15012.]

J. Brenner, L. Cummings, The Hadamard maximum determinant problem.Am.

Math. Monthly 79 (1972), 626–630. [MR 46 (1973), 190.]

R.P. Brent, B.D. McKay, Determinants and ranks of random matrices overZm.

Discrete Math. 66 (1987), 35–50. [MR 88h: 15042.]

C. Brezinski, Some determinantal identities in a vector space, with applications.

InPad ́e Approximation and its Applications, Bad Honnef 1983, 1–11, Lecture

Notes in Math. 1071 , Springer, Berlin-New York, 1984. [Zbl 542 (1985),

41016; MR 85m: 15004.]

P.L. Britten, D.M. Collins, Information theory as a basis for the maximum

determinant.Acta Cryst. A 38 (1982), 129–132. [PA 85 (1982), 44957.]

J. Browkin Determinants revisited (Polish).Ann. Soc. Math. Pol. Ser. II, Wiad.

Mat. 27 (1986), 47–58. [Zbl 617 (1988), 15020.]

A. Brown, Solution of a linear difference equation.Bull. Austral. Math. Soc. 11

(1974), 325–331. [MR 50 (1975), 13935.]

P.J. Browne, R.V. Nillsen, On difference operators and their factorization.Can.

J. Math. 35 (1983), 873–897. [MR 85j: 39005.]

D. Bruce, E. Corrigan, D. Olive, Group theoretical calculation of traces and

determinants occurring in dual theories.Nucl. Phys.B95(1975), 427–433.

R.C. Brunet, Pyramidal composition rules for Wronskians upon Wronskians.J.

Math. Phys. 16 (1975), 1112–1116. [MR 51 (1976), 5858.]

M.W. Buck, R.A. Coley, D.P. Robbins, A generalized Vandermonde determinant.

J. Alg. Combin. 1 (1992), 105–109. [Zbl 773 (1993/23), 05008.]

A. Bultheel, The asymptotic behaviour of Toeplitz determinants generated

by Laurent coefficients of a meromorphic function.SIAM J. Alg. Discrete

Methods 6 (1985), 624–629. [Zbl 569 (1986), 41026.]

D.J. Buontempo, The determinant of a skew-symmetric matrix.Math. Gaz. 66

(1982), 67–69.

J.L. Burchnall, Some determinants with hypergeometric elements.Q.J. Math.

(Oxford) (2) 3 (1952), 151–157. [MR 14 (1953), 44.]

J.L. Burchnall, A method of evaluating certain determinants.Proc. Edin. Math.

Soc.(2) 9 (1954), 100–104. [MR 16 (1955), 557.]

J.W. Burgmeier, See A.A. Jagers.

P.J. Burillo Lopez, J. Aguilella Almer, Geometry of Gram’s determinants in

Hilbert space.Stochastica 5 (1981), 5–24. [Zbl 475 (1982), 46019.]

I.W. Busbridge, On skew-symmetric determinants.Math. Gaz. 33 (1949), 292–

294.

M. Buys, A. Finkel, The inverse periodic problem for Hill’s equation with a finite

gap potential.J. Diff. Eqns. 55 (1984), 257–275. [MR 86a: 34052.]