Gaussian Jacobsthal-Padovan numbers have been the central focus of this paper and firstly this number sequence has defined. Later, we have given the proof of the generating function of the Gaussian Jacobsthal-Padovan sequence. After that by using generating function, we have given the proof of the Binet formula for this number sequence. Additionally, we have investigated some properties such as Simson identity, summation formulas of this sequence. Finally, we have obtained some matrices whose elements are Gaussian Jacobsthal-Padovan numbers.
Jacobsthal numbers Jacobsthal-Padovan numbers Gaussian Jacobsthal-Padovan numbers Generating function Binet formula
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Natural Sciences |
Authors | |
Publication Date | June 29, 2022 |
Submission Date | November 18, 2021 |
Acceptance Date | April 13, 2022 |
Published in Issue | Year 2022Volume: 43 Issue: 2 |