The importance of basic hypergeometric series has been widely recognized. For non specialists, it is necessary to have a quick introduction to this classical but flourishing subject. An effort along this direction wil...The importance of basic hypergeometric series has been widely recognized. For non specialists, it is necessary to have a quick introduction to this classical but flourishing subject. An effort along this direction will be made in the present article.展开更多
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The importance of basic hypergeometric series has been widely recognized. For non specialists, it is necessary to have a quick introduction to this classical but flourishing subject. An effort along this direction will be made in the present article.
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）.
