Atıf İçin Kopyala
Ozkan E., Akkuş H.
Proof, cilt.4, ss.141-149, 2024 (Hakemli Dergi)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
4
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Basım Tarihi:
2024
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Doi Numarası:
10.37394/232020.2024.4.14
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Dergi Adı:
Proof
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Derginin Tarandığı İndeksler:
EBSCO Legal Source, Other Indexes
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Sayfa Sayıları:
ss.141-149
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Marmara Üniversitesi Adresli:
Evet
Özet
In this study, we define hyperbolic k-Oresme and k-Oresme-Lucas quaternions. For these quaternions, we give the Binet Formulas, summation formulas, etc. Then we obtain the generating functions and exponential generating functions of these quaternions. Also, we find relations among the hyperbolic k- Oresme and k-Oresme-Lucas quaternions and their conjugates. In addition, we calculate the special identities of these quaternions. Moreover, we examine the relationships between the hyperbolic k-Oresme and k-Oresme-Lucas quaternions. Finally, the terms of the k-Oresme and k-Oresme-Lucas sequences are associated with their hyperbolic quaternion values.In this study, we define hyperbolic k-Oresme and k-Oresme-Lucas quaternions. For these quaternions, we give the Binet Formulas, summation formulas, etc. Then we obtain the generating functions and exponential generating functions of these quaternions. Also, we find relations among the hyperbolic k-Oresme and k-Oresme-Lucas quaternions and their conjugates. In addition, we calculate the special identities of these quaternions. Moreover, we examine the relationships between the hyperbolic k-Oresme and k-Oresme-Lucas quaternions. Finally, the terms of the k-Oresme and k-Oresme-Lucas sequences are associated with their hyperbolic quaternion values.