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Volumn 13, Issue 1-3, 2007, Pages 63-101

On the dynamics of certain recurrence relations

Author keywords

Arithmetic geometric mean; Complex continued fractions; Dynamical systems; Matrix analysis; Stability theory

Indexed keywords


EID: 33845773294     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11139-006-0243-3     Document Type: Conference Paper
Times cited : (5)

References (16)
  • 3
    • 13244287856 scopus 로고    scopus 로고
    • On the Ramanujan AGM fraction. Part I: The real-parameter case
    • [CECM Preprint 2003: 208/213]
    • Borwein, J., Crandall, R., Fee, G.: On the Ramanujan AGM fraction. Part I: The real-parameter case. Experimental Mathematics, 13, 275-286 (2004) [CECM Preprint 2003: 208/213]
    • (2004) Experimental Mathematics , vol.13 , pp. 275-286
    • Borwein, J.1    Crandall, R.2    Fee, G.3
  • 4
    • 13244277634 scopus 로고    scopus 로고
    • On the Ramanujan AGM fraction. Part II: The complex parameter case
    • [CECM Preprint 2003: 214]
    • Borwein, J., Crandall, R.: On the Ramanujan AGM fraction. Part II: The complex parameter case. Experimental Mathematics, 13, 287-296 (2004) [CECM Preprint 2003: 214]
    • (2004) Experimental Mathematics , vol.13 , pp. 287-296
    • Borwein, J.1    Crandall, R.2
  • 5
    • 33747156361 scopus 로고    scopus 로고
    • Dynamics of some random continued fractions
    • [CoLab Preprint 275]
    • Borwein, J.M., Luke, D.R.: Dynamics of some random continued fractions, Abstract and Applied Analysis, 449-468 (2005) [CoLab Preprint 275]
    • (2005) Abstract and Applied Analysis , pp. 449-468
    • Borwein, J.M.1    Luke, D.R.2
  • 6
    • 84966238492 scopus 로고
    • Infinite compositions of Mobius transforms
    • Gill, J.: Infinite compositions of Mobius transforms. Trans. Amer. Math. Soc. 176, 479-487 (1973)
    • (1973) Trans. Amer. Math. Soc. , vol.176 , pp. 479-487
    • Gill, J.1
  • 10
    • 0012577114 scopus 로고
    • The special functions and their approximations, vol. I
    • Bellman, R. (ed.) Academic Press, New York
    • Luke, Y.: The special functions and their approximations, vol. I. In: Bellman, R. (ed.) Mathematics in science and engineering, vol. LIII. Academic Press, New York (1969)
    • (1969) Mathematics in Science and Engineering , vol.53
    • Luke, Y.1
  • 16
    • 84953751498 scopus 로고
    • Cambridge University Press
    • Zygmund, A.: Trigonometric Series, vol I, Cambridge University Press (1959)
    • (1959) Trigonometric Series , vol.1
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.