Factorizations that Involve Ramanujan ’ s Function k ( q ) = r ( q )
نویسندگان
چکیده
In the “lost notebook”, Ramanujan recorded infinite product expansions for 1 √ r − ( 1−√5 2 )√ r and 1 √ r − ( 1 + √ 5 2 )√ r, 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)r(q).
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