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Scandinavian Actuarial Journal Volume 1982, 1982 - Issue 2
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Original Articles

Steffensen's poweroids

Elias S. W. Shiu Department of Actuarial Mathematics, University of Manitoba, Winnipeg, Manitoba, R3T2N2, Canada
Pages 123-128 | Received 01 Jul 1981, Published online: 22 Dec 2011
 
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Abstract

A delta operator and its poweroids generalize the duality between the differentiation operator D and the polynomials

xj

. By extending the Taylor expansion formula, we are able to give simple derivations for several classical actuarial finite-difference formulas.

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