Some Appell-Dunkl sequences (Q2683165)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some Appell-Dunkl sequences |
scientific article |
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Some Appell-Dunkl sequences (English)
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3 February 2023
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The purpose of this paper is to continue the studies of Appell-Dunkl sequences and to generate some examples of this kind of sequences. The generating function will be a variation of he Bessel function of order \(\alpha\), which leads to generalizations of the derivative, the integral, the exponential function and the binomial coefficients. The computations are similar to generating functions for Appell sequences.
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Appell sequences
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Dunkl transform
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Appell-Dunkl sequences
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