Abstract
We derive full asymptotic expansions for the Landau constants G n as n → ∞. Some of the expansions are not new, yet all the coefficients of the expansions are given iteratively in an explicit manner, and are more efficiently evaluated as compared with the known results. We obtain the asymptotic formulas, old and new, by applying the theory of Wong and Li for second-order linear difference equations. In deriving the expansions, we have also confirmed a conjecture made by Nemes and Nemes.
Original language | English |
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Pages (from-to) | 988-995 |
Number of pages | 8 |
Journal | Applied Mathematics and Computation |
Volume | 219 |
Issue number | 3 |
DOIs | |
Publication status | Published - 15 Oct 2012 |
Scopus Subject Areas
- Computational Mathematics
- Applied Mathematics
User-Defined Keywords
- Asymptotic expansion
- Asymptotic solution
- Landau constants
- Second-order linear difference equation