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Dergiler / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 1

On Dual-Complex Numbers with Generalized Fibonacci and Lucas Numbers Coefficients

Arzu CİHAN
Ayşe ZEYNEP AZAK
MEHMET ALİ GÜNGÖR
Sayfa
55–68
DOI
—
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Finally, it is seen that the theorems and the equations which are obtained for the special values p = 1 and q = 0 correspond to the theorems and identities in [2].

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, dual-complex Fibonacci numbers with generalized Fibonacci and Lucas coefficients are dened.
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Temel Bulgular & Veri:Generating function is given for this number system.
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Sonuç & Katkı:Finally, it is seen that the theorems and the equations which are obtained for the special values p = 1 and q = 0 correspond to the theorems and identities in [2].
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Dual-complex numbers · generalized Fibonacci

Abstract

In this paper, dual-complex Fibonacci numbers with generalized Fibonacci and Lucas coefficients are dened. Generating function is given for this number system. Binet formula is obtained by the help of this generating function. Then, well-known Cassini, Catalan, d'Ocagne's, Honsberger, Tagiuri and other identities are given for this number system. Finally, it is seen that the theorems and the equations which are obtained for the special values p = 1 and q = 0 correspond to the theorems and identities in [2].

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Bu Makaleye Atıf Yap

CİHAN, A., AZAK, A. Z., GÜNGÖR, M. A. (2020). On Dual-Complex Numbers with Generalized Fibonacci and Lucas Numbers Coefficients. Mathematical Sciences and Applications E-Notes, Cilt: 8 - Sayı: 1, 55–68. https://ajindex.com/articles/283458

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Kaynakça (11)

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