EN
Integral Representations for Bessel Matrix Functions
Abstract
Jódar et. al. [Util. Math. 46 (1994) 129-141] introduced the concept of Bessel matrix functions of the first kind. In this paper, we derive integral representations for these functions.
Keywords
References
- N. Dunford and J. Schwartz, Linear operators, part I, Interscience, New York, 1955.
- L. Jódar, M. Legua and A. G. Law, A matrix method of Frobenius, and application to a generalized Bessel equation, Congressus Numerantium, 86 (1992), 7- 17.
- L. Jódar, R. Company and E. Navarro, Bessel matrix functions: explicit solution of coupled Bessel type equations, Util. Math., 46 (1994), 129-141.
- L. Jódar, R. Company and E. Navarro, Solving explicitly the Bessel matrix differential equation, without increasing problem dimension, Congressus Numerantium, 92 (1993), 261-276.
- L. Jódar and J. C. Cortés, Some properties of Gamma and Beta matrix functions, Appl. Math. Lett., 11(1) (1998), 89-93.
- J. Sastre and L. Jódar, Asymptotics of the modified Bessel and incomplete Gamma matrix functions, Appl. Math. Lett., 16 (6) (2003), 815- 820.
- N. N. Lebedev, Special functions and their applications, Dover, New York, 1972.
- L. Jódar and J. C. Cortés, On the hypergeometric matrix function, J. Comput. Appl. Math., 99 (1998), 205-217.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
March 28, 2014
Submission Date
October 7, 2013
Acceptance Date
-
Published in Issue
Year 2014 Volume: 27 Number: 1
APA
Cekım, B., & Erkus Duman, E. (2014). Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science, 27(1), 663-667. https://izlik.org/JA53ZD27KZ
AMA
1.Cekım B, Erkus Duman E. Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science. 2014;27(1):663-667. https://izlik.org/JA53ZD27KZ
Chicago
Cekım, Bayram, and Esra Erkus Duman. 2014. “Integral Representations for Bessel Matrix Functions”. Gazi University Journal of Science 27 (1): 663-67. https://izlik.org/JA53ZD27KZ.
EndNote
Cekım B, Erkus Duman E (March 1, 2014) Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science 27 1 663–667.
IEEE
[1]B. Cekım and E. Erkus Duman, “Integral Representations for Bessel Matrix Functions”, Gazi University Journal of Science, vol. 27, no. 1, pp. 663–667, Mar. 2014, [Online]. Available: https://izlik.org/JA53ZD27KZ
ISNAD
Cekım, Bayram - Erkus Duman, Esra. “Integral Representations for Bessel Matrix Functions”. Gazi University Journal of Science 27/1 (March 1, 2014): 663-667. https://izlik.org/JA53ZD27KZ.
JAMA
1.Cekım B, Erkus Duman E. Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science. 2014;27:663–667.
MLA
Cekım, Bayram, and Esra Erkus Duman. “Integral Representations for Bessel Matrix Functions”. Gazi University Journal of Science, vol. 27, no. 1, Mar. 2014, pp. 663-7, https://izlik.org/JA53ZD27KZ.
Vancouver
1.Bayram Cekım, Esra Erkus Duman. Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science [Internet]. 2014 Mar. 1;27(1):663-7. Available from: https://izlik.org/JA53ZD27KZ