scholarly journals On the Higher Power Sums of Reciprocal Higher-Order Sequences

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Zhengang Wu ◽  
Jin Zhang
Keyword(s):  
Error Estimation ◽  
Higher Order ◽  
Analytic Method ◽  
Order Linear ◽  
Power Sums ◽  
Higher Power ◽  
Recursive Sequence ◽  
Finite Sums ◽  
Reciprocal Sums

Let{un}be a higher-order linear recursive sequence. In this paper, we use the properties of error estimation and the analytic method to study the reciprocal sums of higher power of higher-order sequences. Then we establish several new and interesting identities relating to the infinite and finite sums.

scholarly journals On the Sum of Reciprocal of Polynomial Applied to Higher Order Recurrences

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 638
Author(s):  
Pavel Trojovský
Keyword(s):  
Higher Order ◽  
Order Linear ◽  
Recursive Sequence ◽  
Infinite Sums ◽  
Reciprocal Sums

Recently a lot of papers have been devoted to partial infinite reciprocal sums of a higher-order linear recursive sequence. In this paper, we continue this program by finding a sequence which is asymptotically equivalent to partial infinite sums, including a reciprocal of polynomial applied to linear higher order recurrences.

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