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$$q$$-blossoming and Hermite-Padé approximants to the $$q$$-exponential function. (English) Zbl 1379.41014
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.

##### MSC:
 41A21 Padé approximation 68U07 Computer science aspects of computer-aided design
Expokit
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##### References:
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