EN
On the hyperbolic Horadam matrix functions
Abstract
In this study, we introduce a new class of the hyperbolic matrix functions which are called symmetrical hyperbolic Horadam sine and cosine matrix functions and we present some hyperbolic and recursive properties of these new matrix functions. In addition, we introduce quasi-sine Horadam matrix function and also define the matrix form of the metallic shofars that related to the hyperbolic Horadam sine and hyperbolic Horadam cosine matrix functions.
Keywords
References
- [1] A.H. Al-Mohy and N.J. Higham, A New Scaling and Squaring Algorithm for the Matrix Exponential, SIAM J. Matrix Anal. Appl. 31 (3), 970-989, 2009.
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- [3] M. Bahşi and S. Solak, Hyperbolic Horadam functions, Gazi Univ. J. Sci 32 (3), 956-965, 2019.
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
December 1, 2022
Submission Date
March 23, 2022
Acceptance Date
June 2, 2022
Published in Issue
Year 2022 Volume: 51 Number: 6
APA
Bahşi, M., & Mersin, E. Ö. (2022). On the hyperbolic Horadam matrix functions. Hacettepe Journal of Mathematics and Statistics, 51(6), 1550-1562. https://doi.org/10.15672/hujms.1092305
AMA
1.Bahşi M, Mersin EÖ. On the hyperbolic Horadam matrix functions. Hacettepe Journal of Mathematics and Statistics. 2022;51(6):1550-1562. doi:10.15672/hujms.1092305
Chicago
Bahşi, Mustafa, and Efruz Özlem Mersin. 2022. “On the Hyperbolic Horadam Matrix Functions”. Hacettepe Journal of Mathematics and Statistics 51 (6): 1550-62. https://doi.org/10.15672/hujms.1092305.
EndNote
Bahşi M, Mersin EÖ (December 1, 2022) On the hyperbolic Horadam matrix functions. Hacettepe Journal of Mathematics and Statistics 51 6 1550–1562.
IEEE
[1]M. Bahşi and E. Ö. Mersin, “On the hyperbolic Horadam matrix functions”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 6, pp. 1550–1562, Dec. 2022, doi: 10.15672/hujms.1092305.
ISNAD
Bahşi, Mustafa - Mersin, Efruz Özlem. “On the Hyperbolic Horadam Matrix Functions”. Hacettepe Journal of Mathematics and Statistics 51/6 (December 1, 2022): 1550-1562. https://doi.org/10.15672/hujms.1092305.
JAMA
1.Bahşi M, Mersin EÖ. On the hyperbolic Horadam matrix functions. Hacettepe Journal of Mathematics and Statistics. 2022;51:1550–1562.
MLA
Bahşi, Mustafa, and Efruz Özlem Mersin. “On the Hyperbolic Horadam Matrix Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 6, Dec. 2022, pp. 1550-62, doi:10.15672/hujms.1092305.
Vancouver
1.Mustafa Bahşi, Efruz Özlem Mersin. On the hyperbolic Horadam matrix functions. Hacettepe Journal of Mathematics and Statistics. 2022 Dec. 1;51(6):1550-62. doi:10.15672/hujms.1092305
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