Connection Coefficients for Higher-order Bernoulli and Euler Polynomials: A Random Walk Approach
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Bibliographic record
Abstract
We use random walks as an approach to obtain connection coefficients for higherorder Bernoulli and Euler polynomials. In particular, we study the cases of a 1-dimensional linear reflected Brownian motion and of a 3-dimensional Bessel process. By considering the successive hitting times of two, three, and four fixed levels of these random walks, we obtain non-trivial identities that involve higher-order Bernoulli and Euler polynomials.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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