Title
Recurrence Relations Of The Second Order And Infinite Series Identities.
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 Chu17720.68
Xiaoxia Wang200.34