Abstract
We derive explicit expressions for the type II Hermite-Padé approximants to the q-exponential function using the q-blossom of its partial sums. In particular, this derivation leads to an interpretation of the Padé approximants as control points of a q-Bézier curve defined in terms of the partial sums of the q-exponential function.
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Ait-Haddou, R. q-Blossoming and Hermite-Padé approximants to the q-exponential function. Numer Algor 76, 53–66 (2017). https://doi.org/10.1007/s11075-016-0242-4
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DOI: https://doi.org/10.1007/s11075-016-0242-4
Keywords
- Hermite-Padé approximation
- q-Blossoming
- q-Exponential function
- Hermite identity
- q-Bézier curves
- q-Bernstein bases