On the convergence of second-order recurrence series

Bijan Kumar Patel and Prasanta Kumar Ray
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 4, Pages 120—127
DOI: 10.7546/nntdm.2018.24.4.120-127
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Authors and affiliations

Bijan Kumar Patel
International Institute of Information Technology Bhubaneswar
Bhubaneswar-751003, India

Prasanta Kumar Ray
School of Mathematical Sciences, Sambalpur University
Sambalpur-768019, India


In this article, a generalized second-order linear recurrence sequence is considered and the range of the convergence of this sequence with power series is studied. An estimation for the speed of convergence of the second-order linear recurrence series is also given.


  • Second-order recurrence relation
  • Power series
  • Range of convergence
  • Speed of convergence

2010 Mathematics Subject Classification

  • 11B39
  • 11B83


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Cite this paper

Patel, B. K., & Ray, P. K. (2018). On the convergence of second-order recurrence series. Notes on Number Theory and Discrete Mathematics, 24(4), 120-127, doi: 10.7546/nntdm.2018.24.4.120-127.

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