Research Article

Some properties of the Jost solutions and scattering function of a multiplicative Dirac system

Volume: 55 Number: 2 December 30, 2025
EN

Some properties of the Jost solutions and scattering function of a multiplicative Dirac system

Abstract

In this study, we deal with a multiplicative Dirac system by giving Jost solutions, Jost functions and multiplicative integral representations of the solutions of this system. We also present asymptotic representations for Jost solutions and Jost functions. Moreover, we define the scattering function of the system.

Keywords

References

  1. [1] E. Bairamov, Y. Aygar and M. Olgun, Jost solution and the spectrum of the discrete Dirac systems, Bound. Value Probl. 306571, 2010.
  2. [2] E. Bairamov and A.O. Çelebi, Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators, Q. J. Math. 50, 371-384, 1999.
  3. [3] E. Bairamov and T. Köprübaşı, Eigenparameter dependent discrete Dirac equations with spectral singularities, Appl. Math. Comput. 215 (12), 4216-4220, 2010.
  4. [4] E. Bairamov and S. Solmaz, Spectrum and scattering function of the impulsive discrete Dirac systems, Turkish J. Math. 42 (6), 3182-3194, 2018.
  5. [5] A.E. Bashirov, E. M. Kurpınar and A. Özyapıcı, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337 (1), 36-48, 2008.
  6. [6] A. Bashirov, E. Mısırlı and Y. Tandogdu, On modeling with multiplicative differential equations, Appl. Math. J. Chinese Univ. 26, 425-438, 2011.
  7. [7] A. Bashirov and M. Rıza, Complex multiplicative calculus, arXiv preprint arXiv:1103.1462, 2011.
  8. [8] F. Benford, The law of anomalous numbers, Proc. Amer. Philos. Soc. 551-572, 1938.

Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Early Pub Date

December 30, 2025

Publication Date

December 30, 2025

Submission Date

June 10, 2025

Acceptance Date

October 11, 2025

Published in Issue

Year 2026 Volume: 55 Number: 2

APA
Öznur, G. B., Özbey, G. G., Aygarküçükevcilioğlu, Y., & Aktaş Karaman, R. (2026). Some properties of the Jost solutions and scattering function of a multiplicative Dirac system. Hacettepe Journal of Mathematics and Statistics, 55(2), 655-666. https://doi.org/10.15672/hujms.1716685
AMA
1.Öznur GB, Özbey GG, Aygarküçükevcilioğlu Y, Aktaş Karaman R. Some properties of the Jost solutions and scattering function of a multiplicative Dirac system. Hacettepe Journal of Mathematics and Statistics. 2026;55(2):655-666. doi:10.15672/hujms.1716685
Chicago
Öznur, Güler Başak, Güher Gülçehre Özbey, Yelda Aygarküçükevcilioğlu, and Rabia Aktaş Karaman. 2026. “Some Properties of the Jost Solutions and Scattering Function of a Multiplicative Dirac System”. Hacettepe Journal of Mathematics and Statistics 55 (2): 655-66. https://doi.org/10.15672/hujms.1716685.
EndNote
Öznur GB, Özbey GG, Aygarküçükevcilioğlu Y, Aktaş Karaman R (April 1, 2026) Some properties of the Jost solutions and scattering function of a multiplicative Dirac system. Hacettepe Journal of Mathematics and Statistics 55 2 655–666.
IEEE
[1]G. B. Öznur, G. G. Özbey, Y. Aygarküçükevcilioğlu, and R. Aktaş Karaman, “Some properties of the Jost solutions and scattering function of a multiplicative Dirac system”, Hacettepe Journal of Mathematics and Statistics, vol. 55, no. 2, pp. 655–666, Apr. 2026, doi: 10.15672/hujms.1716685.
ISNAD
Öznur, Güler Başak - Özbey, Güher Gülçehre - Aygarküçükevcilioğlu, Yelda - Aktaş Karaman, Rabia. “Some Properties of the Jost Solutions and Scattering Function of a Multiplicative Dirac System”. Hacettepe Journal of Mathematics and Statistics 55/2 (April 1, 2026): 655-666. https://doi.org/10.15672/hujms.1716685.
JAMA
1.Öznur GB, Özbey GG, Aygarküçükevcilioğlu Y, Aktaş Karaman R. Some properties of the Jost solutions and scattering function of a multiplicative Dirac system. Hacettepe Journal of Mathematics and Statistics. 2026;55:655–666.
MLA
Öznur, Güler Başak, et al. “Some Properties of the Jost Solutions and Scattering Function of a Multiplicative Dirac System”. Hacettepe Journal of Mathematics and Statistics, vol. 55, no. 2, Apr. 2026, pp. 655-66, doi:10.15672/hujms.1716685.
Vancouver
1.Güler Başak Öznur, Güher Gülçehre Özbey, Yelda Aygarküçükevcilioğlu, Rabia Aktaş Karaman. Some properties of the Jost solutions and scattering function of a multiplicative Dirac system. Hacettepe Journal of Mathematics and Statistics. 2026 Apr. 1;55(2):655-66. doi:10.15672/hujms.1716685