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On some identities and generating functions for Pell-Lucas numbers

Ali Boussayoud

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Source: Crossref

Published: Dec 31, 2017

DOI: 10.61091/ojac-1201

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Source abstract

Generating functions for Pell and Pell-Lucas numbers are obtained. Applications are given for some results recently obtained by Mansour [Mansour12]; by using an alternative approach that considers the action of the operator δe1e2k\delta_{e_1 e_2}^k to the series ∑j=0∞aj(e1z)j\sum_{j=0}^\infty a_j (e_1 z)^j.

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