Expansions and Characterizations of Sieved Random Walk Polynomials
We consider random walk polynomial sequences (ₙ())ₙ∈ℕ₀ ⊆ ℝ[] given by recurrence relations ₀() = 1, ₁() = , ₙ() = (1−cₙ)ₙ₊₁()+cₙₙ₋₁(), ∈ ℕ with (cₙ)ₙ∈ℕ ⊆ (0, 1). For every ∈ ℕ, the -sieved polynomials (ₙ(; ))ₙ∈ℕ₀ arise from the recurrence coefficients c(; ):= cₙ/ₖ if | and c(; ):= 1/2 otherwise. A...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2023 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212028 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Expansions and Characterizations of Sieved Random Walk Polynomials. Stefan Kahler. SIGMA 19 (2023), 103, 18 pages |