Öz
In this paper, we study the concept of dual-variable functions parameterized by the product of
two arbitrary time scales. Firstly, we give some preliminaries of the dual numbers and dual-variable functions.
Secondly, we introduce some properties of the time scales. In the main result, we investigate the limit, derivative,
partial differentiation and Cauchy-Riemann equation of the dual-variable functions on time scales.
Anahtar Kelimeler
Cauchy-Riemann equation dual space dual-variable functions time scales
Kaynakça
- Aktan N, Sarikaya M, Ilarslan K, Yildirim H, 2009. Directional Nabla-derivative and Curves on n-dimensional Time Scales, Acta Appl. Math, (105), 45-63.
- Aulbach B, Hilger S, 1990. Linear Dynamic Processes with in Homogeneous Time Scale, Nonlinear Dynamics and Quantum Dynamical System, Berlin Academia Verlag, 9-20.
- Bohner M, Peterson A, 2001. Dynamic Equations on timescales, An Introduction with Applications, Birkhӓuser.
- Bohner M, Guseinov G, 2006. An introduction to complex functions on products of two time scales, Journal of Difference Equations and Applications, (12), 369-384.
- Ercan Z, Yuce S, 2011. On properties of dual quaternions, Eur. J. Pure Appl. Math., (4) No.2, 142-146.
- Hilger S, 1990. Analysis on Measure Chains-a Unified Approach to Continuous and Discrete Calculus, Results math., (18), 18-56.
- Kramer EE, 1930. Polygenic functions of the dual variable, Amer. J. Math., (52), No.2, 370-376.
- Messelmi F, 2013. Analysis of Dual Functions, Annual Review of Chaos Theory, Bifurcations and Dynamical Systems, Mechanisms and Machine Theory, (4), 37-54.
- Onder M, Ugurlu HH, 2013. Normal and Spherical Curves in Dual space Mediterr. J.Math (10), 1527-1537.
- Study E, 1901. Geometrie der dynamen, Teubner, Leipzig.
- Veldkamp GR, 1976. On the use of dual numbers, vectors and matrices in instantaneous spatial kinematics, Mechanism and Machine Theory, (11), 141-156.
- Yaglom IM, 1969. A Simple Non- Euclidean Geometry and Its Physical Basis.
Öz
Anahtar Kelimeler
Cauchy-Riemann denklemi dual değişkenli fonksiyonlar dual uzay zaman skalası
Kaynakça
- Aktan N, Sarikaya M, Ilarslan K, Yildirim H, 2009. Directional Nabla-derivative and Curves on n-dimensional Time Scales, Acta Appl. Math, (105), 45-63.
- Aulbach B, Hilger S, 1990. Linear Dynamic Processes with in Homogeneous Time Scale, Nonlinear Dynamics and Quantum Dynamical System, Berlin Academia Verlag, 9-20.
- Bohner M, Peterson A, 2001. Dynamic Equations on timescales, An Introduction with Applications, Birkhӓuser.
- Bohner M, Guseinov G, 2006. An introduction to complex functions on products of two time scales, Journal of Difference Equations and Applications, (12), 369-384.
- Ercan Z, Yuce S, 2011. On properties of dual quaternions, Eur. J. Pure Appl. Math., (4) No.2, 142-146.
- Hilger S, 1990. Analysis on Measure Chains-a Unified Approach to Continuous and Discrete Calculus, Results math., (18), 18-56.
- Kramer EE, 1930. Polygenic functions of the dual variable, Amer. J. Math., (52), No.2, 370-376.
- Messelmi F, 2013. Analysis of Dual Functions, Annual Review of Chaos Theory, Bifurcations and Dynamical Systems, Mechanisms and Machine Theory, (4), 37-54.
- Onder M, Ugurlu HH, 2013. Normal and Spherical Curves in Dual space Mediterr. J.Math (10), 1527-1537.
- Study E, 1901. Geometrie der dynamen, Teubner, Leipzig.
- Veldkamp GR, 1976. On the use of dual numbers, vectors and matrices in instantaneous spatial kinematics, Mechanism and Machine Theory, (11), 141-156.
- Yaglom IM, 1969. A Simple Non- Euclidean Geometry and Its Physical Basis.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Gönderilme Tarihi | 3 Ekim 2017 |
| Kabul Tarihi | 26 Şubat 2018 |
| Yayımlanma Tarihi | 30 Eylül 2018 |
| Yayımlandığı Sayı | Yıl 2018 Cilt: 8 Sayı: 3 |