Araştırma Makalesi

Matrix continued fraction expansion of Bessel function

Cilt: 4 Sayı: 3 30 Eylül 2016
  • Ali Kacha *
  • Gul Karadeniz Gozeri
  • Kacem Belhroukia
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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

  1. T. Ando, Topics on operators inequalities, Ryukyu Univ. Lecture note Series 1, 1978.
  2. A.Cuyt, V.Brevik Petersen, Handbook of continued fractions for special functions, Springer (2007).
  3. F. R.Gantmacher. The Theory of Matrices, Vol. I. Chelsa, New York, Elsevier Science Publishers, (1992).
  4. V. Gen H.Golub and Charles F.Van Loan, Matrix Computations, Johns Hopking University Press, Baltimore, MD, USA, third edition (1996).
  5. T. L. HAYDEN, Continued fractions in Banach spaces, Rocky Mtn. J.Math., 4 (1974), pp. 367-369.
  6. A.N, Khovanski, The applications of continued fractions and their Generalisation to problemes in approximation theory,1963, Noordhoff, Groningen, The Netherlands (chap2).
  7. L.Lorentzen, H.Wadeland, Continued fractions with application, Elseiver Science Publishers, (1992).
  8. 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

Kaynak Göster

APA
Kacha, A., Gozeri, G. K., & Belhroukia, K. (2016). Matrix continued fraction expansion of Bessel function. New Trends in Mathematical Sciences, 4(3), 1-8. https://izlik.org/JA98ML64RJ
AMA
1.Kacha A, Gozeri GK, Belhroukia K. Matrix continued fraction expansion of Bessel function. New Trends in Mathematical Sciences. 2016;4(3):1-8. https://izlik.org/JA98ML64RJ
Chicago
Kacha, Ali, Gul Karadeniz Gozeri, ve Kacem Belhroukia. 2016. “Matrix continued fraction expansion of Bessel function”. New Trends in Mathematical Sciences 4 (3): 1-8. https://izlik.org/JA98ML64RJ.
EndNote
Kacha A, Gozeri GK, Belhroukia K (01 Eylül 2016) Matrix continued fraction expansion of Bessel function. New Trends in Mathematical Sciences 4 3 1–8.
IEEE
[1]A. Kacha, G. K. Gozeri, ve K. Belhroukia, “Matrix continued fraction expansion of Bessel function”, New Trends in Mathematical Sciences, c. 4, sy 3, ss. 1–8, Eyl. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA98ML64RJ
ISNAD
Kacha, Ali - Gozeri, Gul Karadeniz - Belhroukia, Kacem. “Matrix continued fraction expansion of Bessel function”. New Trends in Mathematical Sciences 4/3 (01 Eylül 2016): 1-8. https://izlik.org/JA98ML64RJ.
JAMA
1.Kacha A, Gozeri GK, Belhroukia K. Matrix continued fraction expansion of Bessel function. New Trends in Mathematical Sciences. 2016;4:1–8.
MLA
Kacha, Ali, vd. “Matrix continued fraction expansion of Bessel function”. New Trends in Mathematical Sciences, c. 4, sy 3, Eylül 2016, ss. 1-8, https://izlik.org/JA98ML64RJ.
Vancouver
1.Ali Kacha, Gul Karadeniz Gozeri, Kacem Belhroukia. Matrix continued fraction expansion of Bessel function. New Trends in Mathematical Sciences [Internet]. 01 Eylül 2016;4(3):1-8. Erişim adresi: https://izlik.org/JA98ML64RJ