Keldysh Institute preprints, 2017, 141
On Hermite–Padé approximants for the product of two logarithms
V. G. Lysov
The Hermite–Padé approximants for systems of functions, containing $\ln (1 + 1 / z)\ln (1-1 / z)$ are considered. The research is motivated by the number-theoretic applications related to Diophantine approximations for products of logarithms. Two constructions are considered, for which it is possible to find an explicit form of Hermite–Padé approximants. Their asymptotic behavior is studied and convergence is proved.
multiple orthogonal polynomials, vector equilibrium problem, irrationality measure.
PDF file (422 kB)
V. G. Lysov, “On Hermite–Padé approximants for the product of two logarithms”, Keldysh Institute preprints, 2017, 141, 24 pp.
Citation in format AMSBIB
\paper On Hermite--Pad\'e approximants for the product of two logarithms
\jour Keldysh Institute preprints
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|