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Identities and congruences involving orthogonal polynomials and Apéry-like numbers

Abstract

In this paper, we establish a general identity for three-term recurrence sequences and then give applications to orthogonal polynomials and Apéry-like numbers.

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BibTeX
@misc{sun2026identities,
  title = {{Identities and congruences involving orthogonal polynomials and Apéry-like numbers}},
  author = {Zhi-Hong Sun},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29910},
  eprint = {2609.29910},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29910},
}
RIS
TY  - UNPB
TI  - Identities and congruences involving orthogonal polynomials and Apéry-like numbers
AU  - Zhi-Hong Sun
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29910
UR  - https://arxiv.org/abs/2609.29910
AB  - In this paper, we establish a general identity for three-term recurrence sequences and then give applications to orthogonal polynomials and Apéry-like numbers.
ER  -