Fibonacci generalized quaternions. Zbl 1321.11020
Akyiğit, Mahmut; Hüda Kösal, Hidayet; Tosun, Murat |
|
2014
|
Split Fibonacci quaternions. Zbl 1328.11016
Akyiǧit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat |
|
2013
|
Smarandache curves on \(S^2\). Zbl 1413.53015
Taşköprü, Kemal; Tosun, Murat |
|
2014
|
Spinor Bishop equations of curves in Euclidean 3-space. Zbl 1287.53003
Ünal, Doğan; Kisi, İlim; Tosun, Murat |
|
2013
|
Commutative quaternion matrices. Zbl 1307.15022
Hüda Kösal, Hidayet; Tosun, Murat |
|
2014
|
Some characterizations of quaternionic rectifying curves. Zbl 1250.53004
Gungor, M. Ali; Tosun, Murat |
|
2011
|
On the consimilarity of split quaternions and split quaternion matrices. Zbl 1389.15053
Kösal, Hidayet Hüda; Akyiğit, Mahmut; Tosun, Murat |
|
2016
|
Consimilarity of commutative quaternion matrices. Zbl 1349.15081
Kösal, Hidayet Hüda; Akyiǧit, Mahmut; Tosun, Murat |
|
2016
|
Universal similarity factorization equalities for commutative quaternions and their matrices. Zbl 1411.15024
Kösal, Hidayet Hüda; Tosun, Murat |
|
2019
|
On the trajectory ruled surfaces of framed base curves in the Euclidean space. Zbl 1467.53006
Yıldız, Önder Gökmen; Akyiğit, Mahmut; Tosun, Murat |
|
2021
|
Spinor Darboux equations of curves in Euclidean 3-space. Zbl 1474.53018
Kişi, Ilim; Tosun, Murat |
|
2015
|
Some equivalence relations and results over the commutative quaternions and their matrices. Zbl 1424.15053
Kösal, Hidayet Hüda; Tosun, Murat |
|
2017
|
A study on dual Mannheim partner curves. Zbl 1217.53004
Gungor, M. A.; Tosun, M. |
|
2010
|
Geometry of the hyperbolic spinors corresponding to alternative frame. Zbl 1328.53002
Erişir, Tülay; Ali Güngör, Mehmet; Tosun, Murat |
|
2015
|
Framed normal curves in Euclidean space. Zbl 1469.53010
Yazici, Bahar Doğan; Karakuş, Siddika Özkaldi; Tosun, M. |
|
2020
|
A note on inextensible flows of curves in \(E^n\). Zbl 1308.53103
Yildiz, Önder Gökmen; Tosun, Murat; Karakuş, Siddika Özkaldi |
|
2013
|
A study on dual hyperbolic Fibonacci and Lucas numbers. Zbl 1438.11033
Cihan, Arzu; Azak, Ayşe Zeynep; Güngör, Mehmet Ali; Tosun, Murat |
|
2019
|
Timelike Bertrand curves in semi-Euclidean space. Zbl 1308.53028
Ersoy, Soley; Tosun, Murat |
|
2013
|
Generalized timelike Mannheim curves in Minkowski space-time \(E_{1}^{4}\). Zbl 1216.53015
Akyigit, M.; Ersoy, S.; Özgür, İ.; Tosun, M. |
|
2011
|
\(p\)-trigonometric approach to elliptic biquaternions. Zbl 1410.11125
Özen, Kahraman Esen; Tosun, Murat |
|
2018
|
A new generalization of the Steiner formula and the Holditch theorem. Zbl 1343.53013
Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat |
|
2016
|
On the semisimilarity and consemisimilarity of split quaternions. Zbl 1343.15019
Yildiz, Onder Gokmen; Kosal, Hidayet Huda; Tosun, Murat |
|
2016
|
A note on the acceleration and jerk in motion along a space curve. Zbl 1488.70004
Özen, Kahraman Esen; Güner, Mehmet; Tosun, Murat |
|
2020
|
Spinor Frenet equations in three dimensional Lie groups. Zbl 1367.53020
Zeki Okuyucu, Osman; Gökmen Yıldız, Önder; Tosun, Murat |
|
2016
|
Generalized Mannheim curves in Minkowski space-time \(E_{1}^{4}\). Zbl 1251.53011
Ersoy, Soley; Tosun, Murat; Matsuda, Hiroo |
|
2012
|
The homothetic motions in the Lorentz 3-space. Zbl 1144.53020
Tosun, M.; Kucuk, A.; Gungor, M. A. |
|
2006
|
Elliptic biquaternion algebra. Zbl 1469.11448
Özen, Kahraman Esen; Tosun, Murat |
|
2018
|
On the matrix algebra of elliptic biquaternions. Zbl 1447.15030
Özen, Kahraman Esen; Tosun, Murat |
|
2020
|
Euler-Savary formula for the Lorentzian planar homothetic motions. Zbl 1217.53003
Gungor, M. A.; Pirdal, A. Z.; Tosun, M. |
|
2010
|
Elliptic matrix representations of elliptic biquaternions and their applications. Zbl 1414.16017
Özen, Kahraman Esen; Tosun, Murat |
|
2018
|
A note on elliptic biquaternions. Zbl 1469.11449
Özen, Kahraman Esen; Tosun, Murat |
|
2018
|
Dual Lorentzian spherical motions and dual Euler-Savary formula. Zbl 1167.53303
Gungor, M. A.; Ersoy, S.; Tosun, M. |
|
2009
|
On the classification of framed rectifying curves in Euclidean space. Zbl 1529.53006
Yazıcı, Bahar Doğan; Karakuş, Sıddıka Özkaldı; Tosun, Murat |
|
2022
|
A study on the one parameter Lorentzian spherical motions. Zbl 1164.53311
Tosun, M.; Gungor, M. A.; Hacisalihoglu, H. H.; Okur, I. |
|
2006
|
The Holditch-type theorem for the polar moment of inertia of the orbit curve in the generalized complex plane. Zbl 1367.53010
Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat |
|
2016
|
Spinor representation of framed Mannheim curves. Zbl 1501.15018
Yazici, Bahar Doğan; İşbilir, Zehra; Tosun, Murat |
|
2022
|
One parameter lorentzian motions in Lorentz 3-space. Zbl 1199.53054
Gungor, Mehmet Ali; Tosun, Murat |
|
2008
|
Framed curves and their applications based on a new differential equation. Zbl 1492.53007
Yazici, Bahar Doğan; Karakuş, Sıddıka Özkaldi; Tosun, Murat |
|
2022
|
Siacci’s theorem according to Darboux frame. Zbl 1424.53013
Özen, Kahraman Esen; Tosun, Murat; Akyiğit, Mahmut |
|
2017
|
Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space. Zbl 1305.53021
Akyiǧit, Mahmut; Ersoy, Soley; Tosun, Murat |
|
2014
|
A note on admissible Mannheim curves in Galilean space \(G_3\). Zbl 1238.53007
Ersoy, S.; Akyigit, M.; Tosun, M. |
|
2011
|
Framed curves in three-dimensional Lie groups and a Berry phase model. Zbl 1519.53006
Yazıcı, Bahar Doğan; Okuyucu, Osman Zeki; Tosun, Murat |
|
2022
|
On the jerk in motion along a regular surface curve. Zbl 1464.70004
Tosun, Murat; Hızarcıoğlu, Merve |
|
2020
|
One parameter dual Lorentzian spherical motions and ruled surfaces. Zbl 1186.53013
Gungor, Mehmet Ali; Tosun, Murat |
|
2008
|
On the trajectory null scrolls in 3-dimensional Minkowski space-time \(E^3_1\). Zbl 1149.53013
Ersoy, Soley; Tosun, Murat |
|
2008
|
The hyperbolic spinor representation of transformations in \(\mathbb {R}_1^3\) by means of split quaternions. Zbl 1419.15020
Tarakçioğlu, Mustafa; Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat |
|
2018
|
Mannheim partner P-trajectories in the Euclidean 3-space \(E^{3}\). Zbl 07860965
İşbilir, Zehra; Özen, Kahraman Esen; Tosun, Murat |
|
2022
|
On the classification of framed rectifying curves in Euclidean space. Zbl 1529.53006
Yazıcı, Bahar Doğan; Karakuş, Sıddıka Özkaldı; Tosun, Murat |
|
2022
|
Spinor representation of framed Mannheim curves. Zbl 1501.15018
Yazici, Bahar Doğan; İşbilir, Zehra; Tosun, Murat |
|
2022
|
Framed curves and their applications based on a new differential equation. Zbl 1492.53007
Yazici, Bahar Doğan; Karakuş, Sıddıka Özkaldi; Tosun, Murat |
|
2022
|
Framed curves in three-dimensional Lie groups and a Berry phase model. Zbl 1519.53006
Yazıcı, Bahar Doğan; Okuyucu, Osman Zeki; Tosun, Murat |
|
2022
|
Mannheim partner P-trajectories in the Euclidean 3-space \(E^{3}\). Zbl 07860965
İşbilir, Zehra; Özen, Kahraman Esen; Tosun, Murat |
|
2022
|
On the trajectory ruled surfaces of framed base curves in the Euclidean space. Zbl 1467.53006
Yıldız, Önder Gökmen; Akyiğit, Mahmut; Tosun, Murat |
|
2021
|
Framed normal curves in Euclidean space. Zbl 1469.53010
Yazici, Bahar Doğan; Karakuş, Siddika Özkaldi; Tosun, M. |
|
2020
|
A note on the acceleration and jerk in motion along a space curve. Zbl 1488.70004
Özen, Kahraman Esen; Güner, Mehmet; Tosun, Murat |
|
2020
|
On the matrix algebra of elliptic biquaternions. Zbl 1447.15030
Özen, Kahraman Esen; Tosun, Murat |
|
2020
|
On the jerk in motion along a regular surface curve. Zbl 1464.70004
Tosun, Murat; Hızarcıoğlu, Merve |
|
2020
|
Universal similarity factorization equalities for commutative quaternions and their matrices. Zbl 1411.15024
Kösal, Hidayet Hüda; Tosun, Murat |
|
2019
|
A study on dual hyperbolic Fibonacci and Lucas numbers. Zbl 1438.11033
Cihan, Arzu; Azak, Ayşe Zeynep; Güngör, Mehmet Ali; Tosun, Murat |
|
2019
|
\(p\)-trigonometric approach to elliptic biquaternions. Zbl 1410.11125
Özen, Kahraman Esen; Tosun, Murat |
|
2018
|
Elliptic biquaternion algebra. Zbl 1469.11448
Özen, Kahraman Esen; Tosun, Murat |
|
2018
|
Elliptic matrix representations of elliptic biquaternions and their applications. Zbl 1414.16017
Özen, Kahraman Esen; Tosun, Murat |
|
2018
|
A note on elliptic biquaternions. Zbl 1469.11449
Özen, Kahraman Esen; Tosun, Murat |
|
2018
|
The hyperbolic spinor representation of transformations in \(\mathbb {R}_1^3\) by means of split quaternions. Zbl 1419.15020
Tarakçioğlu, Mustafa; Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat |
|
2018
|
Some equivalence relations and results over the commutative quaternions and their matrices. Zbl 1424.15053
Kösal, Hidayet Hüda; Tosun, Murat |
|
2017
|
Siacci’s theorem according to Darboux frame. Zbl 1424.53013
Özen, Kahraman Esen; Tosun, Murat; Akyiğit, Mahmut |
|
2017
|
On the consimilarity of split quaternions and split quaternion matrices. Zbl 1389.15053
Kösal, Hidayet Hüda; Akyiğit, Mahmut; Tosun, Murat |
|
2016
|
Consimilarity of commutative quaternion matrices. Zbl 1349.15081
Kösal, Hidayet Hüda; Akyiǧit, Mahmut; Tosun, Murat |
|
2016
|
A new generalization of the Steiner formula and the Holditch theorem. Zbl 1343.53013
Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat |
|
2016
|
On the semisimilarity and consemisimilarity of split quaternions. Zbl 1343.15019
Yildiz, Onder Gokmen; Kosal, Hidayet Huda; Tosun, Murat |
|
2016
|
Spinor Frenet equations in three dimensional Lie groups. Zbl 1367.53020
Zeki Okuyucu, Osman; Gökmen Yıldız, Önder; Tosun, Murat |
|
2016
|
The Holditch-type theorem for the polar moment of inertia of the orbit curve in the generalized complex plane. Zbl 1367.53010
Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat |
|
2016
|
Spinor Darboux equations of curves in Euclidean 3-space. Zbl 1474.53018
Kişi, Ilim; Tosun, Murat |
|
2015
|
Geometry of the hyperbolic spinors corresponding to alternative frame. Zbl 1328.53002
Erişir, Tülay; Ali Güngör, Mehmet; Tosun, Murat |
|
2015
|
Fibonacci generalized quaternions. Zbl 1321.11020
Akyiğit, Mahmut; Hüda Kösal, Hidayet; Tosun, Murat |
|
2014
|
Smarandache curves on \(S^2\). Zbl 1413.53015
Taşköprü, Kemal; Tosun, Murat |
|
2014
|
Commutative quaternion matrices. Zbl 1307.15022
Hüda Kösal, Hidayet; Tosun, Murat |
|
2014
|
Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space. Zbl 1305.53021
Akyiǧit, Mahmut; Ersoy, Soley; Tosun, Murat |
|
2014
|
Split Fibonacci quaternions. Zbl 1328.11016
Akyiǧit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat |
|
2013
|
Spinor Bishop equations of curves in Euclidean 3-space. Zbl 1287.53003
Ünal, Doğan; Kisi, İlim; Tosun, Murat |
|
2013
|
A note on inextensible flows of curves in \(E^n\). Zbl 1308.53103
Yildiz, Önder Gökmen; Tosun, Murat; Karakuş, Siddika Özkaldi |
|
2013
|
Timelike Bertrand curves in semi-Euclidean space. Zbl 1308.53028
Ersoy, Soley; Tosun, Murat |
|
2013
|
Generalized Mannheim curves in Minkowski space-time \(E_{1}^{4}\). Zbl 1251.53011
Ersoy, Soley; Tosun, Murat; Matsuda, Hiroo |
|
2012
|
Some characterizations of quaternionic rectifying curves. Zbl 1250.53004
Gungor, M. Ali; Tosun, Murat |
|
2011
|
Generalized timelike Mannheim curves in Minkowski space-time \(E_{1}^{4}\). Zbl 1216.53015
Akyigit, M.; Ersoy, S.; Özgür, İ.; Tosun, M. |
|
2011
|
A note on admissible Mannheim curves in Galilean space \(G_3\). Zbl 1238.53007
Ersoy, S.; Akyigit, M.; Tosun, M. |
|
2011
|
A study on dual Mannheim partner curves. Zbl 1217.53004
Gungor, M. A.; Tosun, M. |
|
2010
|
Euler-Savary formula for the Lorentzian planar homothetic motions. Zbl 1217.53003
Gungor, M. A.; Pirdal, A. Z.; Tosun, M. |
|
2010
|
Dual Lorentzian spherical motions and dual Euler-Savary formula. Zbl 1167.53303
Gungor, M. A.; Ersoy, S.; Tosun, M. |
|
2009
|
One parameter lorentzian motions in Lorentz 3-space. Zbl 1199.53054
Gungor, Mehmet Ali; Tosun, Murat |
|
2008
|
One parameter dual Lorentzian spherical motions and ruled surfaces. Zbl 1186.53013
Gungor, Mehmet Ali; Tosun, Murat |
|
2008
|
On the trajectory null scrolls in 3-dimensional Minkowski space-time \(E^3_1\). Zbl 1149.53013
Ersoy, Soley; Tosun, Murat |
|
2008
|
The homothetic motions in the Lorentz 3-space. Zbl 1144.53020
Tosun, M.; Kucuk, A.; Gungor, M. A. |
|
2006
|
A study on the one parameter Lorentzian spherical motions. Zbl 1164.53311
Tosun, M.; Gungor, M. A.; Hacisalihoglu, H. H.; Okur, I. |
|
2006
|
