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P. 364

Bibliography  349

          L. Comtet, Advanced Combinatorics, Reidel, Dordrecht, 1974.
          P.C. Consul, Some factorable determinants. Fibonnacci Quart. 14 (1976), 171–
            172. [MR 53 (1977), 5626.]
          C.M. Cordes and D.P. Roselle, Generalized frieze patterns. Duke Math. J. 39
            (1972), 637–648. [MR 47 (1974), 3209.]
          A. Corduneanu, Natural generalization of Vandermonde determinants (Roma-
            nian). Gaz. Mat. Perfect. Metod. Metodol. Nat. Inf. 11 (1990), 31–34. [Zbl
            722 (1991), 15008.]
          H. Cornille, Differential equations satisfied by Fredholm determinants and ap-
            plication to the inversion formalism for parameter dependent potentials. J.
            Math. Phys. 17 (1976), 2143–2157. [PA 80 (1977), 22437.]
          H. Cornille, Generalization of the inversion equations and application to nonlinear
            partial differential equations. I. J. Math. Phys. 18 (1977), 1855–1869. [PA 81
            (1978), 8223.]
          C.M. Cosgrove, New family of exact stationary axisymmetric gravitational fields
            generalizing the Tomimatsu–Sato solutions. J. Phys. A 10 (1977), 1481–1524.
            [MR 58 (1979), 20168.]
          T.M. Cover, J.A. Thomas, Determinant inequalities via information theory. SIAM
            J. Matrix Anal. Applic. 9 (1988), 384–392. [MR 89k: 15028.]
                            e
          W.B. Craggs, The Pad´ table and its relations to certain algorithms of numerical
            analysis. SIAM Rev. 14 (1972), 1–62.
          T. Crilly, Half-determinants: An historical note [Pfaffians]. Math. Gaz. 66 (1982),
            316.
          T.W. Cusick, Identities involving powers of persymmetric determinants. Proc.
            Camb. Phil. Soc. 65 (1969), 371–376. [MR 38 (1969), 5802.]
          P. Dale, Axisymmetric gravitational fields: A nonlinear differential equation that
            admits a series of exact eigenfunction solutions. Proc. Roy. Soc. London A
            362 (1978) 463–468. [MR 80b: 83011.]
          P. Dale, Functional determinants containing Vein’s numbers. Tech. Rep. TR
            91001, Dept. Comp. Sci. & Appl. Math., Aston University, Birmingham, U.K,
            1991.
          P. Dale, P.R. Vein, Determinantal identities applicable to the solution of the
            Benjamin–Ono and Kadomtsev–Petviashvili equations. Tech. Rep. TR 90004,
            Dept. Comp. Sci. & Appl. Math., Aston University, Birmingham, U.K, 1990.
          M.K. Das, On certain determinants for the classical polynomials. J. Annamalai
            Univ. Part B. Sci. 26 (1965), 127-135. [MR 32 (1966), 1385.]
          M.K. Das, On some determinants whose elements are orthogonal polynomials.
            Math. Japan. 11 (1966), 19–25. [MR 34 (1967), 2965.]
          M.K. Das, Determinants related to the generalized Laguerre polynomials. J.
            Natur. Sci. Math. 9 (1969), 67–70. [Zbl 186 (1970), 105.]
          K.M. Day, Toeplitz matrices generated by a Laurent series expansion of an arbi-
            trary rational function. Trans. Am. Math.Soc. 206 (1975), 224–245. [MR 52
            (1976), 708; Zbl 324 (1976), 47016.]
          H. Dette, New identities for orthogonal polynomials on a compact interval. J.
            Math. Anal. Applic. 179 (1993), 547–573.
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