ON THE QUADRA MERSENNE-JACOBSTHAL, QUADRA MERSENNE-PELL AND RELATED QUATERNION SEQUENCES
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Published:2024-03-30
Issue:1
Volume:24
Page:5-16
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ISSN:2068-3049
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Container-title:Journal of Science and Arts
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language:en
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Short-container-title:J. Sci. Arts
Author:
KIZILIRMAK GUL OZKAN1, CAKACI SENANUR2
Affiliation:
1. Gazi University, Department of Mathematics, 06500 Ankara, Turkey 2. Gazi University, Graduate School of Natural and Applied Sciences, 06500 Ankara, Turkey
Abstract
The aim of this paper is primarily to introduce the quadra Mersenne-Jacobsthal and quadra Mersenne-Pell sequences. Then, the Binet formulas and generating functions for these sequences are obtained. Moreover, quadra Mersenne-Jacobsthal and quadra Mersenne-Pell quaternions were defined and Binet formulas, generating functions, some quaternion sums and relations were obtained for these quaternions.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Reference14 articles.
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