Exponential differences
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- by L. M. Delves PDF
- Math. Comp. 20 (1966), 246-256 Request permission
Abstract:
The concept of functional differences is described, and the calculus of functional differences developed for the particular case of the exponential function.References
- H. Levy and F. Lessman, Finite difference equations, Sir Isaac Pitman & Sons, Ltd., London, 1958. MR 0107100 S. Montmort, Philos. Trans. Roy. Soc. London, 1717; see [1, p. 27].
- Robert E. Greenwood, Numerical integration for linear sums of exponential functions, Ann. Math. Statistics 20 (1949), 608–611. MR 32216, DOI 10.1214/aoms/1177729955
- P. Brock and F. J. Murray, The use of exponential sums in step by step integration, Math. Tables Aids Comput. 6 (1952), 63–78. MR 47403, DOI 10.1090/S0025-5718-1952-0047403-3
- H. W. Gould, The operator $(a^{x}\Delta )^{n}$ and Stirling numbers of the first kind, Amer. Math. Monthly 71 (1964), 850–858. MR 167436, DOI 10.2307/2312391
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Math. Comp. 20 (1966), 246-256
- MSC: Primary 39.10
- DOI: https://doi.org/10.1090/S0025-5718-1966-0196309-8
- MathSciNet review: 0196309