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Shiu, Elias S. W.

Steffensen’s poweroids. (English) Zbl 0509.39008

Scand. Actuarial J. 1982, 123-128 (1982).
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scan of Zbl 0509.39008

Cited in 3 Documents

MSC:

39A70 Difference operators

Keywords:

poweroids; duality; differentiation operator; Taylor expansion formula; actuarial finite-difference formulas; central difference interpolation; King’s formula; compound Poisson processes

Citations:

Zbl 0026.20805
Cite Review PDF
Full Text: DOI

References:

[1] Aitken A. C., J. Inst. Act. 60 pp 339– (1929)
[2] Benjamin B., The analysis of mortality and other actuarial statistics (1970)
[3] DOI: 10.1016/0012-365X(73)90063-0 · Zbl 0271.05003 · doi:10.1016/0012-365X(73)90063-0
[4] Fröberg C.-E., Introduction to numerical analysis (1969) · Zbl 0133.37803
[5] DOI: 10.1080/03081087308817005 · Zbl 0287.05008 · doi:10.1080/03081087308817005
[6] DOI: 10.2307/2321518 · Zbl 0406.10013 · doi:10.2307/2321518
[7] Hildebrand F. B., Introduction to numerical analysis (1956) · Zbl 0070.12401
[8] Jordan C. W., Life contingencies (1967)
[9] Lidstone G. J., J. Inst. Act. 55 pp 177– (1924)
[10] Mullin R., Graph theory and its applications pp 167– (1970)
[11] DOI: 10.1016/0022-247X(80)90117-1 · Zbl 0458.05008 · doi:10.1016/0022-247X(80)90117-1
[12] DOI: 10.1016/0001-8708(78)90087-7 · Zbl 0375.05007 · doi:10.1016/0001-8708(78)90087-7
[13] Rota G.-C., J. Math. Anal. Appl. 42 pp 685– (1973)
[14] Rota, G.C. 1975.Finite operator calculus, 7–82. Academic Press.
[15] DOI: 10.1215/S0012-7094-39-00549-1 · Zbl 0022.01502 · doi:10.1215/S0012-7094-39-00549-1
[16] Steffensen J. F., Interpolation (1927) · JFM 53.0524.01
[17] Steffensen J. F., J. Inst. Act. 64 pp 165– (1933) · doi:10.1017/S0020268100032893
[18] DOI: 10.1007/BF02392231 · Zbl 0026.20805 · doi:10.1007/BF02392231
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