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Zbl 1105.39022
Manuel, M.Maria Susai; Xavier, G.Britto Antony; Thandapani, E.
Theory of generalised difference operator and its applications.
(English)
[J] Far East J. Math. Sci. (FJMS) 20, No. 2, 163-171 (2006). ISSN 0972-0871

Authors' summary: We introduce the generalised difference operator $\Delta_\ell$ as $\Delta_\ell(y_k)=y_{k+\ell}-y_k$ and obtain its relation with $\Delta$ and $E$, the usual difference and shift operators, respectively. By defining its inverse, $\Delta^{-1}_\ell$, we obtain some interesting results in number theory.
[Qingkai Kong (DeKalb)]
MSC 2000:
*39A70 Difference operators

Keywords: generalised difference operator; shift operators; inverse

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