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- Title
Multipoint Hermite—Padé approximations for beta functions.
- Authors
Kandayan, A.; Sorokin, V.
- Abstract
We construct multipoint Hermite—Padé approximations for two beta functions generating the Nikishin system with infinite discrete measures and unbounded supports. The asymptotic behavior of the approximants is studied. The result is interpreted in terms of the vector equilibrium problem in logarithmic potential theory in the presence of an external field and constraints on measure.
- Subjects
BETA functions; APPROXIMATION theory; MEROMORPHIC functions; LAURENT series; MEASURE theory; INTERPOLATION
- Publication
Mathematical Notes, 2010, Vol 87, Issue 1/2, p204
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S000143461001027X