6533b828fe1ef96bd1288c65
RESEARCH PRODUCT
Asymptotics for thenth-degree Laguerre polynomial evaluated atn
ÁRpád ElbertAndrea LaforgiaLucia G. Rodonosubject
CombinatoricsComputational MathematicsConjectureIntegerDegree (graph theory)Applied MathematicsMathematical analysisLaguerre polynomialsConnection (algebraic framework)Mathematicsdescription
We investigate the asymptotic behaviour of ? n (n),n?? where ? n (x) denotes the Laguerre polynomial of degreen. Our results give a partial answer to the conjecture ?? n (n)>1 forn>6, made in 1984 by van Iseghem. We also show the connection between this conjecture and the continued fraction approximants of $$6\sqrt {{3 \mathord{\left/ {\vphantom {3 \pi }} \right. \kern-\nulldelimiterspace} \pi }} $$ .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-12-01 | Numerische Mathematik |