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Year 2009, Volume: 58 Issue: 1, 23 - 28, 01.02.2009
https://doi.org/10.1501/Commua1_0000000644

Abstract

References

  • Dominic Rochon and S.Tremblay, Bicomplex Quantum Mechanics: II. The Hilbert Space Adv. appl. Cliğord alg. DOI 10.1007/s00006-003-0000 , Birkhauser Verlag Basel/Switzerland, (2006)
  • Dominic Rochon and M. Shapiro, On algebraic properties of bicomplex and hyperbolic num- bers,Anal. Univ.Oradea,fasc.math.,vol.11,71-110 (2004).
  • O.P. Agrawal, Hamilton Operators and Dual Number Quaternions in Spatial Kinematics, Mec-Mach Theory (22),569-575(1987).
  • H.Kabadayı, Y.Yaylı , Homothetic motion at E4with bicomplex numbers, Applied Mathe- matics Letters (Submitted)
  • Y. Yaylı, Homothetic motions at E, Mech. Mach Theory 27(3), 303-305 (1992).
  • G.B. Price, An Introduction to Multicomplex Spaces and Functions, Marcel Dekker, Inc: New York. I (1)-44(1) . (1991).
  • Barrett O’Neill Semi-Riemannian Geometry, Pure and Applied Mathematics, 103 .Academic Pres, Inc. [Harcourt Brace Jovanovich, Publishers] New York. (1983). Current address : Department of Mathematics, Faculty of Science, University of Ankara, Tan
  • do¼gan, Ankara, TURKEY E-mail address : babadagf@science.ankara.edu.tr,yayli@science.ankara.edu.tr
  • ekmekci@science.ankara.edu.tr

HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS

Year 2009, Volume: 58 Issue: 1, 23 - 28, 01.02.2009
https://doi.org/10.1501/Commua1_0000000644

Abstract

In this study, one of the concepts of conjugate which is defined[1] for bicomplex numbers is investigated. In this case, the metric, in fourdimensional semi-Euclidean space E, has been defined by the help of theconcept of the conjugate.We define a motion in E2with the help of themetric in bicomplex numbers. We show that the motions de…ned by a curvelying on a hypersurface M of Eare homothetic motions . Furthermore, it isshown that the motion defined by a regular curve of order r and derivationsof the curve on the hypersurface M has only one acceleration centre of order(r-1) at every t- instant

References

  • Dominic Rochon and S.Tremblay, Bicomplex Quantum Mechanics: II. The Hilbert Space Adv. appl. Cliğord alg. DOI 10.1007/s00006-003-0000 , Birkhauser Verlag Basel/Switzerland, (2006)
  • Dominic Rochon and M. Shapiro, On algebraic properties of bicomplex and hyperbolic num- bers,Anal. Univ.Oradea,fasc.math.,vol.11,71-110 (2004).
  • O.P. Agrawal, Hamilton Operators and Dual Number Quaternions in Spatial Kinematics, Mec-Mach Theory (22),569-575(1987).
  • H.Kabadayı, Y.Yaylı , Homothetic motion at E4with bicomplex numbers, Applied Mathe- matics Letters (Submitted)
  • Y. Yaylı, Homothetic motions at E, Mech. Mach Theory 27(3), 303-305 (1992).
  • G.B. Price, An Introduction to Multicomplex Spaces and Functions, Marcel Dekker, Inc: New York. I (1)-44(1) . (1991).
  • Barrett O’Neill Semi-Riemannian Geometry, Pure and Applied Mathematics, 103 .Academic Pres, Inc. [Harcourt Brace Jovanovich, Publishers] New York. (1983). Current address : Department of Mathematics, Faculty of Science, University of Ankara, Tan
  • do¼gan, Ankara, TURKEY E-mail address : babadagf@science.ankara.edu.tr,yayli@science.ankara.edu.tr
  • ekmekci@science.ankara.edu.tr
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Faik Babadağ This is me

Yusuf Yaylı This is me

Nejat Ekmekçi This is me

Publication Date February 1, 2009
Published in Issue Year 2009 Volume: 58 Issue: 1

Cite

APA Babadağ, F., Yaylı, Y., & Ekmekçi, N. (2009). HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 58(1), 23-28. https://doi.org/10.1501/Commua1_0000000644
AMA Babadağ F, Yaylı Y, Ekmekçi N. HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2009;58(1):23-28. doi:10.1501/Commua1_0000000644
Chicago Babadağ, Faik, Yusuf Yaylı, and Nejat Ekmekçi. “HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58, no. 1 (February 2009): 23-28. https://doi.org/10.1501/Commua1_0000000644.
EndNote Babadağ F, Yaylı Y, Ekmekçi N (February 1, 2009) HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58 1 23–28.
IEEE F. Babadağ, Y. Yaylı, and N. Ekmekçi, “HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 58, no. 1, pp. 23–28, 2009, doi: 10.1501/Commua1_0000000644.
ISNAD Babadağ, Faik et al. “HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 58/1 (February 2009), 23-28. https://doi.org/10.1501/Commua1_0000000644.
JAMA Babadağ F, Yaylı Y, Ekmekçi N. HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2009;58:23–28.
MLA Babadağ, Faik et al. “HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 58, no. 1, 2009, pp. 23-28, doi:10.1501/Commua1_0000000644.
Vancouver Babadağ F, Yaylı Y, Ekmekçi N. HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2009;58(1):23-8.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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