The linear difference-differential equation with linear coefficients
Author:
Barbara G. Yates
Journal:
Trans. Amer. Math. Soc. 80 (1955), 281-298
MSC:
Primary 39.0X
DOI:
https://doi.org/10.1090/S0002-9947-1955-0074689-0
MathSciNet review:
0074689
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References | Similar Articles | Additional Information
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- [3] Guido Hoheisel, Lineare funktionale Differentialgleichungen, Math. Z. 14 (1922), no. 1, 35–98 (German). MR 1544541, https://doi.org/10.1007/BF01215892
- [4] A. A. Mirolyubov, Solution of differential-difference equations with linear coefficients, Doklady Akad. Nauk SSSR (N.S.) 85 (1952), 1209–1210 (Russian). MR 0050153
- [5] E. C. Titchmarsh, Theory of functions, Oxford, 1932.
- [6] D. V. Widder, The Laplace transform, Princeton, 1946.
- [7] E. M. Wright, Linear difference-differential equations, Proc. Cambridge Philos. Soc. 44 (1948), 179–185. MR 26230, https://doi.org/10.1017/s0305004100024142
- [8] E. M. Wright, The linear difference-differential equation with asymptotically constant coefficients, Amer. J. Math. 70 (1948), 221–238. MR 25063, https://doi.org/10.2307/2372324
- [9] E. M. Wright, The linear difference-differential equation with constant coefficients, Proc. Roy. Soc. Edinburgh Sect. A 62 (1949), 387–393. MR 31639
- [10] E. M. Wright and Barbara G. Yates, The asymptotic expansion of a certain integral, Quart. J. Math. Oxford Ser. (2) 1 (1950), 41–53. MR 34856, https://doi.org/10.1093/qmath/1.1.41
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1955-0074689-0
Article copyright:
© Copyright 1955
American Mathematical Society