Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (1): 8-14.doi: 10.1016/S0252-9602(11)60202-6

• Articles • Previous Articles     Next Articles

A SUFFICIENT CONDITION OF CONVERGENCE FOR CLIFFORD CONTINUED FRACTIONS

 LI Yong-Qun, WANG Xian-Tao   

  1. Department of Mathematics, Hunan University, Changsha 410082, China;Department of Mathematics, Hunan |Normal University, Changsha 410081, China
  • Received:2006-04-25 Revised:2007-07-02 Online:2011-01-20 Published:2011-01-20
  • Supported by:

    The research was partly supported by NSFs of China (10771059 and 11071063) and Hunan Province (05JJ10001), and NCET (04-0783).

Abstract:

In this article, a sufficient condition for a Clifford continued fraction to be convergent is established, and some applications are given.

Key words: Clifford continued fraction, sufficient condition, convergence, application

CLC Number: 

  • 40A15
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