Non-Newtonian Pell and Pell-Lucas numbers

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Journal of New Results in Science
Volume:13 Issue:1
Non-Newtonian Pell and Pell-Lucas numbers

Non-Newtonian Pell and Pell-Lucas numbers

Pages : 22-35

View : 179 | Download : 125

Publication Date : 2024-04-30

Article Type : Research Paper

Abstract :In the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively. In non-Newtonian calculus, we study some significant identities and formulas for classical Pell and Pell-Lucas numbers. Therefore, we derive some relations with non-Newtonian Pell and Pell-Lucas numbers. Furthermore, we investigate some properties of non-Newtonian Pell and Pell-Lucas numbers, including Catalan-like identities, Cassini-like identities, Binet-like formulas, and generating functions.
Keywords : Non Newtonian calculus, Pell number, Pell Lucas number

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