In the "lost notebook", Ramanujan recorded infinite product expansions for where r -= r(q) is the Rogers-Ramanujan continued fraction. We shall give analogues of these results that involve Ramanujan's function k ...In the "lost notebook", Ramanujan recorded infinite product expansions for where r -= r(q) is the Rogers-Ramanujan continued fraction. We shall give analogues of these results that involve Ramanujan's function k = k(q) = r(q)r2 (q2).展开更多
文摘In the "lost notebook", Ramanujan recorded infinite product expansions for where r -= r(q) is the Rogers-Ramanujan continued fraction. We shall give analogues of these results that involve Ramanujan's function k = k(q) = r(q)r2 (q2).