___

• Agrawal O. P., (1987). Hamilton Operators and Dual-Number-Quaternions in Spatial
• Kinematics, Mechanism and Machine Theory, 22(6), 569-575. Ata E., Yayli Y., (2008). Dual Unitary Matrices and Unit Dual Quaternions, Differential
• Geometry-Dynamical System, 10, 1-12. Bayro-Corrochano E., Kahler D., (2000). Motor Algebra Approach for Computing the Kinematics of Robot Manipulators, Journal of Robotic Systems, 17(9), 495-516.
• Clifford W., (1873). Preliminary Sketch of Biquaternions. Proc. of London Math. Soc., 10, 381-3
• Flaut C., (2001). Some Equations in Algebras obtained by the Cayley-Dickson Process. An.
• Şt. Univ. ovidius constanta, 9(2), 45-68. Funda J., (1988). A Computational Analysis of Line-Oriented Screw Transformation in
• Robotics, University of Pennsylvania, New York. Funda J., Paul R.P., (1999). A Computational Analysis of Screw Transformation in
• Robotics, IEEE Transactions of Robotics and Automation, 6(3), 348-356. Gu Y., Luh J.Y.S., (1987). Dual-number Transformation and Its Applications to Robotics.
• IEEE journal of Robotics and Automation, 3(6), 615-623. Guggenheimer H.W., (1963). Differential Geometry, McGraw-Hill book company, Inc., New York.
• Han D., Wie Q., Li Z., (2008). Kinematic Control of Free Rigid Bodies Using Dual
• Quaternions, International Journal of Automation and Computing, 05(3), 319-324. Heard W. B., (2006). Rigid Body Mechanics, Mathematics, Physics and Applications,
• WILEY-VCH verlag GmbH & Co. KGaA, Weinheim. Kim J.H., KumarV.R., (1990). Kinematics of Robot Manipulators via Line
• Transformations, Journal of Robotic System, 7(4), 649-674. Kula L., Yayli Y., (2006). Dual Split Quaternions And Screw Motion In Minkowski 3
• Space, Iranian journal of Sci.& Tech., Transaction A, 30(3), 245-258. Jafari M., Yayli Y., (2013). Rotation in Four Dimensions via Generalized Hamilton
• Operators, Kuwait journal of science, 40(1), 67-79. Jafari M., (2012). Generalized Hamilton operators and their Lie groups, PhD thesis,
• Ankara University, Ankara, Turkey, Jafari M., Yayli Y., (2011). Hamilton Operators and Generalized Quaternions, 8th
• Geometry Conference, Antalya, Turkey. Jafari M., Yayli Y., (2011). Homothetic motions at E . International Journal 4 αβ
• Contemporary of Mathematics Sciences. 5(47), 2319-2326.
• Jafari M., Yayli Y., (2010). Dual Generalized Quaternions in Spatial Kinematics. 41st
• Annual Iranian Math. Conference, Urmia, Iran. Jafari M., Yayli Y., (2015). The E. Study Maps Of Circle On Dual Elliptical Unit Sphere 2 D
• E .Accepted the paper for publication in Bitlis Eren university jouranal of science. Jafari M., (2013). The E. Study mapping for directed lines in 3-space E . The First 3 αβ
• Regional Conference Mathematics & Statistics, Payame Noor university, Urmia, Iran. McCarthy J.M., (1986). Dual Orthogonal Matrices in Manipulator Kinematics,
• International journal Robotics Research, 5(2), 45-51. Mortazaasl H., Jafari M., Yayli Y., (2012). Some Algebraic Properties of Dual Generalized
• Quaternions Algebra, Far East journal of Mathematical science, 69(2), 307-318. Pennock G.R., Yang A.T., (1985). Application of Dual Number Matrices to the Inverse
• Kinematics Problem of Robot Manipulators, Journal Mechanisms Transmissions and Automat Design, 10(7), 201-208. Pottman H.,Wallner J. ,(2000). Computational Line Geometry, Springer-Verlag, New York.
• Sahu S., Biswal B.B., Subudhi B., (2008). A Novel Method for Representing Robot
• Kinematics Using Quaternion Theory, IEEE Sponsored Conference On Computational Intelligence, Control And Computer Vision In Robotics & Automation. Study E., (1891). Von Den bewegungen und umlegungen, Mathematische Annalen 39: 441- 5
• UGurlu H. H., Caliskan A., (1996). The Study Mapping for Directed Space-Like and Time
• Like in Minkowski 3-space R. Mathematical & Computational App., 1, 142-148. Mathematical & Computational App., 1, 142-148. 1 Veldkemp G.R., (1976). On the use of Dual Numbers, Vectors and Matrices in
• Instantanouse Spatial Kinematics, Mechanism and Machine Theory, 11, 141-156. Yang A.T., Freudensterin F., (1964). Application of Dual-Number Quaternion Algebra to the Analysis of Spatial Mechanisms. ASME journal of applied Mechnics, 86(2), 300-308.