Factorizations that Involve Ramanujan＇s Function k（q） = r（q）r2（q2）  

作　　者：Shaun COOPER Michael D. HIRSCHHORN 

机构地区：[1]Institute of Information and Mathematical Sciences, Massey University-Albany, Private Bag 102904,North Shore Mail Centre, Auckland, New Zealand [2]School of Mathematics and Statistics, UNSW, Sydney NSW 2（}52, Australia

出　　处：《Acta Mathematica Sinica,English Series》2011年第12期2301-2308,共8页数学学报（英文版）

摘　　要：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）.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）.

关 键 词：Infinite product Rogers-Ramanujan continued fraction Jacobi triple product identity 

分 类 号：O156.4[理学—数学] O157.5[理学—基础数学]