TY - JOUR T1 - PLANE KINEMATICS IN LORENTZIAN HOMOTHETIC MULTIPLICATIVE CALCULUS AU - Es, Hasan PY - 2024 DA - July Y2 - 2024 DO - 10.33773/jum.1411844 JF - Journal of Universal Mathematics JO - JUM PB - Gökhan ÇUVALCIOĞLU WT - DergiPark SN - 2618-5660 SP - 64 EP - 74 VL - 7 IS - 2 LA - en AB - In this study, Lorentzian plane homothetic multiplicative calculus kinematics is discussed.Lorentzian plane homothetic multiplicative calculus movement, the pole points of a point X relative tothe moving and fixed plane are discussed. In this motion, the velocities and accelerations of a pointX are obtained. In this motion, the relations between the velocities and accelerations of a point X areobtained. In addition, new theorems and results are given. KW - Lorentzian homothetic multiplicative one-parameter motion KW - Lorentzian multiplicative pole orbits KW - Lorentzian mulltiplicative speeds and accelerations. CR - V. Volterra, B. Hostinsky, Operations Innitesimales Lineares. Herman, Paris (1938). CR - D. Aniszewska, Multiplicative Runge-Kutta Methods. Nonlinear Dynamics Vol.50, pp.262-272 (2007). CR - W. Kasprzak, B. Lysik, M. Rybaczuk, Dimensions, Invariants Models and Fractals, Ukrainian Society on Fracture Mechanics, Spolom, Wroclaw-Lviv, Poland (2004). CR - M. Rybaczuk, A. Kedzia, W. Zielinski, The concepts of physical and fractional dimensions 2. The differential calculus in dimensional spaces, Chaos Solitons Fractals Vol.12, pp.2537-2552 (2001). CR - M. Grossman, R. Katz, Non-Newtonian Calculus, Lee Press, Piegon Cove, Massachusetts (1972). CR - D. Stanley, A multiplicative calculus, Primus IX, Vol.4, pp.310-326 (1999). CR - A. E. Bashirov, E. M. Kurpınar, A. Ozyapici, Multiplicative Calculus and its applications, J. Math. Anal. Appl. Vol.337, pp.36-48 (2008). CR - S. Aslan, M. Bekar, Y. Yaylı, Geometric 3-space and multiplicative quaternions, International Journal 1 of Geometric Methods in Modern Physics, Vol.20, No.9 (2023). CR - S. Nurkan, K., I. Gürgil, M. K., Karacan, Vector properties of geometric calculus, Math. Meth. Appl. Sci., pp.1-20 (2023). CR - H. Es, On The 1-Parameter Motions With Multiplicative Calculus, Journal of Science and Arts, Vol.2, No.59 (2022). CR - A. E. Bashirov, M. Rıza, On Complex multiplicative differentiation, TWMS J. App. Eng. Math. Vol.1, No.1, pp.75-85 (2011). CR - A. E. Bashirov, E. Mısırlı, Y. Tandoğdu, A. Ozyapıcı, On modeling with multiplicative differential equations, Appl. Math. J. Chinese Univ. Vol.26, No.4, pp.425-438 (2011). CR - A. E. Bashirov, E. M. Kurpınar, A. Ozyapici, Multiplicative Calculus and its applications, J. Math. Anal. Appl. Vol.337, pp.36-48 (2008). CR - K. Boruah and B. Hazarika, Application of Geometric Calculus in Numerical Analysis and Difference Sequence Spaces, arXiv:1603.09479v1 (2016). CR - K. Boruah and B. Hazarika, Some basic properties of G-Calculus and its applications in numerical analysis, arXiv:1607.07749v1(2016). CR - A. F. Çakmak, F. Başar, On Classical sequence spaces and non-Newtonian calculus, J. Inequal. Appl. 2012, Art. ID 932734, 12 pages (2012). CR - E. Misirli and Y. Gurefe, Multiplicative Adams BashfortMoulton methods, Numer Algor, Vol.57, pp.425-439(2011). CR - A. F. Çakmak, F. Başar, Some sequence spaces and matrix transformations in multiplicative sense, TWMS J. Pure Appl. Math. Vol.6, No.1, pp.27-37 (2015). CR - D. Campbell, Multiplicative Calculus and Student Projects, Vol.9, No.4, pp.327-333 (1999) CR - M. Coco, Multiplicative Calculus, Lynchburg College, Vol.9, No.4, pp.327-333 (2009). CR - M. Grossman, Bigeometric Calculus: A System with a scale-Free Derivative, Archimedes Foundation, Massachusetts (1983). CR - M. Grossman, An Introduction to non-Newtonian calculus, Int. J. Math. Educ. Sci. Technol., Vol.10, No.4, pp.525-528 (1979). CR - J. Grossman, M. Grossman, R. Katz, The First Systems of Weighted Differential and Integral Calculus, University of Michigan (1981). CR - J. Grossman, Meta-Calculus: Differential and Integral, University of Michigan (1981). CR - Y. Gurefe, Multiplicative Differential Equations and Its Applications, Ph.D. in Department of Mathematics (2013). CR - W. F. Samuelson, S.G. Mark, Managerial Economics, Seventh Edition (2012). CR - S. Tekin, F. Başar, Certain Sequence spaces over the non-Newtonian complexeld, Abstr. Appl. Anal. Article ID 739319, 11 pages (2013). CR - C. Türkmen and F. Başar, Some Basic Results on the sets of Sequences with Geometric Calculus, Commun. Fac. Fci. Univ. Ank. Series A1., Vol.61, No.2, pp.17-34 (2012). CR - A. Uzer, Multiplicative type Complex Calculus as an alternative to the classical calculus, Comput. Math. Appl. Vol.60, pp.2725-2737 (2010). CR - K. Boruah and B. Hazarika, G-Calculus, TWMS J. App. Eng. Math., Vol.8, No.1, pp.94-105 (2018) UR - https://doi.org/10.33773/jum.1411844 L1 - https://dergipark.org.tr/en/download/article-file/3628618 ER -