Generalizations of a result of Christensen on renewal sequences and linear recurrences |
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| Authors: | Kenneth S. Berenhaut Courtney R. Bzdelik Jean J. Merlet |
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| Affiliation: | Wake Forest University, Department of Mathematics, Winston-Salem, NC 27109, United States |
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| Abstract: | This note extends some recent work of Christensen on simple closed form solutions for linear recurrences, employing connections with renewal sequences. We obtain results for linear recursive sequences defined via monotone coefficients, and provide a broader result in the third-order case. A related open question is posed. |
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| Keywords: | 60K05 11B39 39A10 |
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