Year 2014,
Volume: 27 Issue: 1, 663 - 667, 28.03.2014
Bayram Cekım
,
Esra Erkus Duman
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.
- R. Aktaş, A note on multivariable Humbert matrix polynomials, Gazi University Journal of Science, (in press).
Integral Representations for Bessel Matrix Functions
Year 2014,
Volume: 27 Issue: 1, 663 - 667, 28.03.2014
Bayram Cekım
,
Esra Erkus Duman
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.
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.
- R. Aktaş, A note on multivariable Humbert matrix polynomials, Gazi University Journal of Science, (in press).