9 citations · 26 across the 14 of their papers we have counts for
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math.NT2015
Iterated binomial transform of the k-Lucas sequence
Nazmiye Yilmaz, Necati Taskara
In this study, we apply "r" times the binomial transform to k-Lucas sequence. Also, the Binet formula, summation, generating function of this transform are found using recurrence r…
math.NT2015★ 4 cited
On the g-Circulant Matrix involving the Generalized k-Horadam Numbers
Nazmiye Yilmaz, Yasin Yazlik, Necati Taskara
In this study, we present a new generalization of circulant matrices for the generalized -Horadam numbers, by considering the -circulant matrix $C_{n,g}(H)=g -circ(H_{k,1},H_…
math.NT2015★ 5 cited
On the properties of iterated binomial transforms for the Padovan and Perrin matrix sequences
Nazmiye Yilmaz, Necati Taskara
In this study, we apply "r" times the binomial transform to the Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, generating functions of these transforms…