On Split k-Fibonacci and k-Lucas Quaternions

被引:0
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作者
Emrah Polatli
Can Kizilates
Seyhun Kesim
机构
[1] Bulent Ecevit University,Department of Mathematics, Faculty of Science and Arts
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关键词
Primary 11B39; Secondary 11B37; 11R52; Split ; -Fibonacci quaternions; Split ; -Lucas quaternions;
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摘要
In this paper, we introduce the split k-Fibonacci and k-Lucas quaternions. We obtain the Binet formulas, generating functions and exponential generating functions of these quaternions. Moreover, we give the Catalan, Cassini and d’Ocagne identities for the split k-Fibonacci and k-Lucas quaternions.
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页码:353 / 362
页数:9
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