宮崎大学 · 教育学研究科/教育学部

研究キーワードbasic hypergeometric series・q-analogues・three-term relations・Gosper identities・group determinants・Wolstenholme primes・invariant rings

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• In 2015, Ebisu presented a new method for finding hypergeometric identities based on three-term relations for the hypergeometric series. By using this method, he derived almost all of the previously known hypergeometric identities, as well as many new ones. In this paper, we derive several basic hypergeometric identities, including both well-known and not widely known ones, by applying a q-analogue of Ebisu’s method to three-term relations for the basic hypergeometric series.2015 · 論文
• In 1977, Gosper conjectured many strange evaluations of hypergeometric series. One of them is a -series identity with two free parameters, which has since been proved by several researchers using different methods. In this paper, we present a q-analogue of the -series identity, along with a generalization, by using three-term relations for the basic hypergeometric series.1977 · 論文
• Communications in Algebra論文
• Scopus論文

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