Research Article

Integral Representations for Bessel Matrix Functions

Volume: 27 Number: 1 March 28, 2014
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

  1. N. Dunford and J. Schwartz, Linear operators, part I, Interscience, New York, 1955.
  2. 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.
  3. L. Jódar, R. Company and E. Navarro, Bessel matrix functions: explicit solution of coupled Bessel type equations, Util. Math., 46 (1994), 129-141.
  4. L. Jódar, R. Company and E. Navarro, Solving explicitly the Bessel matrix differential equation, without increasing problem dimension, Congressus Numerantium, 92 (1993), 261-276.
  5. L. Jódar and J. C. Cortés, Some properties of Gamma and Beta matrix functions, Appl. Math. Lett., 11(1) (1998), 89-93.
  6. J. Sastre and L. Jódar, Asymptotics of the modified Bessel and incomplete Gamma matrix functions, Appl. Math. Lett., 16 (6) (2003), 815- 820.
  7. N. N. Lebedev, Special functions and their applications, Dover, New York, 1972.
  8. 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