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2023, Volume 31, Issue 9: 5766-5779. doi: 10.3934/era.2023293
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On the reciprocal sums of products of $ m $th-order linear recurrence sequences

  • Northwest University, Xi'an, Shaanxi 710127, China
  • Received: 16 February 2023 Revised: 18 May 2023 Accepted: 26 July 2023 Published: 25 August 2023

  • In this paper, we use the method of error estimation to consider the reciprocal sums of products of any $ m $th-order linear recurrence sequences $ \left \{ u_{n} \right \} $. Specifically, we find that a series of sequences are "asymptotically equivalent" to the reciprocal sums of products of any $ m $th-order linear recurrence sequences $ \left \{ u_{n} \right \} $.

    Citation: Tingting Du, Zhengang Wu. On the reciprocal sums of products of $ m $th-order linear recurrence sequences[J]. Electronic Research Archive, 2023, 31(9): 5766-5779. doi: 10.3934/era.2023293

    Related Papers:

  • In this paper, we use the method of error estimation to consider the reciprocal sums of products of any $ m $th-order linear recurrence sequences $ \left \{ u_{n} \right \} $. Specifically, we find that a series of sequences are "asymptotically equivalent" to the reciprocal sums of products of any $ m $th-order linear recurrence sequences $ \left \{ u_{n} \right \} $.


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