Integral Representations for Bessel Matrix Functions

Yıl 2014, Cilt: 27 Sayı: 1, 663 - 667, 28.03.2014

Bayram Cekım , Esra Erkus Duman

Öz

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. 

Anahtar Kelimeler

Bessel matrix function, Jordan block, Gamma matrix function, Beta matrix function, integral representations.

Kaynakça

• 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.
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• R. Aktaş, A note on multivariable Humbert matrix polynomials, Gazi University Journal of Science, (in press).