保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Preprint |
| 出版事項: |
2024
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| 主題: | |
| オンライン･アクセス: | https://arxiv.org/abs/2408.15212 |
| タグ: |
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目次:
- The series expansion of $x^m (-\log x)^l$ in terms of the shifted Chebyshev Polynomials $T_n^*(x)$ requires evaluation of the integral family $\int_0^1 x^m (-\log x)^l dx / \sqrt{x-x^2}$. We demonstrate that these can be reduced by partial integration to sums over integrals with exponent $m=0$ which have known representations as finite sums over polygamma functions.