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
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.
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).
Cekım, B., & Erkus Duman, E. (2014). Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science, 27(1), 663-667.
AMA
Cekım B, Erkus Duman E. Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science. March 2014;27(1):663-667.
Chicago
Cekım, Bayram, and Esra Erkus Duman. “Integral Representations for Bessel Matrix Functions”. Gazi University Journal of Science 27, no. 1 (March 2014): 663-67.
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
B. Cekım and E. Erkus Duman, “Integral Representations for Bessel Matrix Functions”, Gazi University Journal of Science, vol. 27, no. 1, pp. 663–667, 2014.
ISNAD
Cekım, Bayram - Erkus Duman, Esra. “Integral Representations for Bessel Matrix Functions”. Gazi University Journal of Science 27/1 (March 2014), 663-667.
JAMA
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, 2014, pp. 663-7.
Vancouver
Cekım B, Erkus Duman E. Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science. 2014;27(1):663-7.