Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2014, Cilt: 27 Sayı: 1, 663 - 667, 28.03.2014

Öz

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.
  • 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

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

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. 

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.
  • 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).
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Mathematics
Yazarlar

Bayram Cekım

Esra Erkus Duman

Yayımlanma Tarihi 28 Mart 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 27 Sayı: 1

Kaynak Göster

APA 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. Mart 2014;27(1):663-667.
Chicago Cekım, Bayram, ve Esra Erkus Duman. “Integral Representations for Bessel Matrix Functions”. Gazi University Journal of Science 27, sy. 1 (Mart 2014): 663-67.
EndNote Cekım B, Erkus Duman E (01 Mart 2014) Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science 27 1 663–667.
IEEE B. Cekım ve E. Erkus Duman, “Integral Representations for Bessel Matrix Functions”, Gazi University Journal of Science, c. 27, sy. 1, ss. 663–667, 2014.
ISNAD Cekım, Bayram - Erkus Duman, Esra. “Integral Representations for Bessel Matrix Functions”. Gazi University Journal of Science 27/1 (Mart 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 ve Esra Erkus Duman. “Integral Representations for Bessel Matrix Functions”. Gazi University Journal of Science, c. 27, sy. 1, 2014, ss. 663-7.
Vancouver Cekım B, Erkus Duman E. Integral Representations for Bessel Matrix Functions. Gazi University Journal of Science. 2014;27(1):663-7.