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Tamsui Oxford Journal of Information and Mathematical Sciences Scopus
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| 篇名 | On the expansion of Ramanujan's continued fraction of order sixteen |
|---|---|
| 卷期 | 31:1 |
| 作者 | A. Vanitha |
| 頁次 | 081-099 |
| 關鍵字 | Continued fractions 、 dissections 、 periodicity of sign of coeffcients |
| 出刊日期 | 201702 |
中文摘要
英文摘要
We give 2-, 4-, 8- and 16-dissections of a continued fraction of order sixteen. We show that the sign of the coecients in the power series expansion of the continued fraction of order sixteen is periodic with period 16. We also give combinatorial interpretations for the coecients in the power series expansion of the continued fraction of order sixteen.
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