| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4650509 | Discrete Mathematics | 2008 | 31 Pages |
Abstract
Two general methods for establishing the logarithmic behavior of recursively defined sequences of real numbers are presented. One is the interlacing method, and the other one is based on calculus. Both methods are used to prove logarithmic behavior of some combinatorially relevant sequences, such as Motzkin and Schröder numbers, sequences of values of some classic orthogonal polynomials and many others. The calculus method extends also to numbers indexed by two or more parameters.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Tomislav Došlić, Darko Veljan,