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The linear differential-difference equation with constant coefficients. (English) Zbl 0245.34055

MSC:
34K05 General theory of functional-differential equations
44A10 Laplace transform
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series
30B50 Dirichlet series, exponential series and other series in one complex variable
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[1] Verblunsky, S, On a class of differential-difference equations, (), 355-365 · Zbl 0072.09001
[2] Bellman, R; Cooke, K.L, Differential-difference equations, (1963), Academic Press New York · Zbl 0118.08201
[3] Titchmarsh, E.C, Introduction to the theory of Fourier integrals, (1937), Oxford University Press London · Zbl 0017.40404
[4] Titchmarsh, E.C, Solutions of some functional equations, J. London math. soc., 14, 118-124, (1939) · Zbl 0021.13603
[5] Widder, D.V, The Laplace transform, (1946), Princeton University Press Princeton, NJ · Zbl 0060.24801
[6] Abramowitz, M; Stegun, I.A, ()
[7] Dixon, A.C, The theory of a thin elastic plate, bounded by two circular arcs and clamped, (), 373-386 · JFM 48.0932.01
[8] Dixon, A.C, Expansions and functions reduced to zero by the operator sinh D − cd, (), 271-290 · JFM 48.0310.01
[9] Anderson, C.H, The linear differential-difference equation with constant coefficients, Notices amer. math. soc., 16, 177, (1969)
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