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( Furkan Birol ),( Ozden Koruoglu ),( Recep Sahin ),( Bilal Demir ) 호남수학회 2019 호남수학학술지 Vol.41 No.1
We consider the extended generalized Hecke groups H<sub>3;q</sub> generated by X(z) = -(z - 1)<sup>-1</sup>, Y (z) = -(z + λ<sub>q</sub>)<sup>-1</sup> with λ<sub>q</sub> =2 cos(π/q) where q ≥ 3 an integer. In this work, we study the generalized Pell sequences in H<sub>3;q</sub> : Also, we show that the entries of the matrix representation of each element in the extended generalized Hecke Group H<sub>3;3</sub> can be written by using Pell, Pell-Lucas and modified-Pell numbers.
Birol, Furkan,Koruoglu, Ozden,Sahin, Recep,Demir, Bilal The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.1
We consider the extended generalized Hecke groups ${\bar{H}}_{3,q}$ generated by $X(z)=-(z-1)^{-1}$, $Y(z)=-(z+{\lambda}_q)^{-1}$ with ${\lambda}_q=2\;cos({\frac{\pi}{q}})$ where $q{\geq}3$ an integer. In this work, we study the generalized Pell sequences in ${\bar{H}}_{3,q}$. Also, we show that the entries of the matrix representation of each element in the extended generalized Hecke Group ${\bar{H}}_{3,3}$ can be written by using Pell, Pell-Lucas and modified-Pell numbers.
¨Ozden Koruo˘glu,Furkan Birol,Recep Sahin,Bilal Demir 호남수학회 2019 호남수학학술지 Vol.41 No.1
We consider the extended generalized Hecke groups $\overline{H}_{3,q}$ generated by $X(z)=-(z-1)^{-1}$, $Y(z)=-(z+\lambda _{q})^{-1}$ with $\lambda _{q}=2\cos (\frac{\pi }{q})$ where $q\geq 3$ an integer.\ In this work, we study the generalized Pell sequences in $\overline{H}_{3,q}.$ Also, we show that the entries of the matrix representation of each element in the extended generalized Hecke Group $\overline{H}_{3,3}$ can be written by using Pell, Pell-Lucas and modified-Pell numbers.