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

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Mathematical Sciences and Applications E-Notes
Volume:8 Issue:1
On Dual-Complex Numbers with Generalized Fibonacci and Lucas Numbers Coefficients

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

Authors : Arzu CİHAN, Ayşe Zeynep AZAK, Mehmet Ali GÜNGÖR

Pages : 55-68

Doi:10.36753/mathenot.621602

View : 34 | Download : 9

Publication Date : 2020-03-20

Article Type : Research Paper

Abstract :In this paper, dual-complex Fibonacci numbers with generalized Fi bonacci and Lucas coefficients are dened. Generating function is given for this number system. Binet formula is obtained by the help of this generat ing 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].
Keywords : Dual complex numbers, generalized Fibonacci

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