Matrix continued fraction expansion of Bessel function
Abstract
The aim of this paper is to provide some results and applications of continued fractions with matrix arguments. First, we recall some properties of matrix functions with real coefficients. Afterwards, we give a matrix continued fraction expansion of the Bessel function.
Keywords
Kaynakça
- T. Ando, Topics on operators inequalities, Ryukyu Univ. Lecture note Series 1, 1978.
- A.Cuyt, V.Brevik Petersen, Handbook of continued fractions for special functions, Springer (2007).
- F. R.Gantmacher. The Theory of Matrices, Vol. I. Chelsa, New York, Elsevier Science Publishers, (1992).
- V. Gen H.Golub and Charles F.Van Loan, Matrix Computations, Johns Hopking University Press, Baltimore, MD, USA, third edition (1996).
- T. L. HAYDEN, Continued fractions in Banach spaces, Rocky Mtn. J.Math., 4 (1974), pp. 367-369.
- A.N, Khovanski, The applications of continued fractions and their Generalisation to problemes in approximation theory,1963, Noordhoff, Groningen, The Netherlands (chap2).
- L.Lorentzen, H.Wadeland, Continued fractions with application, Elseiver Science Publishers, (1992).
- Gerard J. MURPHY, C^*-Algebras and operators theory, (1990), Academic press, INC Harcourt Brace Jovanovich, publishers.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Ali Kacha
*
Bu kişi benim
Morocco
Gul Karadeniz Gozeri
Bu kişi benim
Türkiye
Kacem Belhroukia
Bu kişi benim
Morocco
Yayımlanma Tarihi
30 Eylül 2016
Gönderilme Tarihi
22 Ekim 2015
Kabul Tarihi
8 Mart 2016
Yayımlandığı Sayı
Yıl 2016 Cilt: 4 Sayı: 3