Abstract | ||
---|---|---|
For the sequence satisfying the recurrence relation of the second order, we establish a general summation theorem on the infinite series of the reciprocal product of its two consecutive terms. As examples, several infinite series identities are obtained on Fibonacci and Lucas numbers, hyperbolic sine and cosine functions, as well as the solutions of Pell equation. |
Year | DOI | Venue |
---|---|---|
2011 | null | ARS COMBINATORIA |
Keywords | Field | DocType |
Fibonacci numbers,Lucas numbers,Recurrence relation | Algebra,Series (mathematics),Recurrence relation,Mathematics | Journal |
Volume | Issue | ISSN |
101 | null | 0381-7032 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Wenchang Chu | 1 | 77 | 20.68 |
Xiaoxia Wang | 2 | 0 | 0.34 |