Gaussian third-order Jacobsthal and Gaussian third-order Jacobsthal–Lucas polynomials and their properties

DOI10.1142/S1793557121500765zbMath1471.11058OpenAlexW3026918735MaRDI QIDQ5001510

Gamaliel Cerda-Morales

Publication date: 22 July 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500765

zbMATH Keywords

Gaussian third-order Jacobsthal numbersGaussian third-order Jacobsthal-Lucas numbersthird-order Jacobsthal polynomialsthird-order Jacobsthal-Lucas polynomials

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
• A class of numbers associated with the Lucas numbers
• \(q\)-Bernstein polynomials and their iterates.
• Identities for third order Jacobsthal quaternions
• Third-order Jacobsthal generalized quaternions
• Dual third-order Jacobsthal quaternions
• A note on modified third-order Jacobsthal numbers
• Some results on dual third-order Jacobsthal quaternions
• Some results on the q-analogues of the incomplete Fibonacci and Lucas Polynomials
• Complex Fibonacci Numbers and Fibonacci Quaternions
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