Integral representations of the Jacobsthal and Jacobsthal-Lucas numbers
Year: 2024
Type: article
Abstract: Our study aims to obtain integral representations of Jacobsthal J_kn and Jacobsthal-Lucas L_kn, and then to use these integral representations to derive integral representations of Jacobsthal J_kn+r and Jacobsthal-Lucas L_kn+r, where n\in Z_0={0,1,2,..} is a non-negative integer, k \in Z_>0=1,2,3,... is an arbitrary but fixed positive integer, while r \in Z_0 is an arbitrary but fixed non-negative integer.
Author: Ahmet Ipek
Institution: Karamanoğlu Mehmetbey University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949436505
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