an:06788826
Zbl 1379.41014
Ait-Haddou, Rachid
\(q\)-blossoming and Hermite-Padé approximants to the \(q\)-exponential function
EN
Numer. Algorithms 76, No. 1, 53-66 (2017).
1017-1398 1572-9265
2017
j
41A21 68U07
\(q\)-blossoming; \(q\)-Bézier curves; Hermite-Padé approximation
The paper deals with the problem of the Hermite-Padé approximation. The author provides new representations of the Hermite-Padé approximants in terms of the blossom of the partial sums of the exponential function. Then he generalizes these representations by expressing the Hermite-Padé approximants for the \(q\)-exponential function in terms of the \(q\)-blossom of its partial sums. These representations lead to a simple and elegant method for deriving explicit expressions for the approximants.
Krzystof Gdawiec (Sosnowiec)