Exponential differences

Author:
L. M. Delves

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

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Abstract | References | Similar Articles | Additional Information

Abstract: The concept of functional differences is described, and the calculus of functional differences developed for the particular case of the exponential function.

**[1]**H. Levy & F. Lessmann,*Finite Difference Equations*, Pitman, London, 1958. MR**21**#5287. MR**0107100 (21:5827)****[2]**S. Montmort,*Philos. Trans. Roy. Soc. London*, 1717; see [1, p. 27].**[3]**R. E. Greenwood, "Numerical integration for linear sums of exponential functions,"*Ann. Math. Statist.*, v. 20, 1949, pp. 608-611. MR**11**, 266. MR**0032216 (11:266g)****[4]**P. Brock & F. J. Murray, "The use of exponential sums in step by step integration,"*MTAC*, v. 6, 1952, pp. 63-78. MR**13**, 873. MR**0047403 (13:873b)****[5]**H. W. Gould, "The operator and Stirling numbers of the first kind,"*Amer. Math. Monthly*, v. 71, 1964, p. 850. MR**0167436 (29:4709)**

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DOI:
https://doi.org/10.1090/S0025-5718-1966-0196309-8

Article copyright:
© Copyright 1966
American Mathematical Society