@article{tjant2015321,
author={{Hossain, Fazlee and Das, Sabuj and Mohajan, Haradhan Kumar},
title={The Rogers-Ramanujan Identities},
journal={Turkish Journal of Analysis and Number Theory},
volume={3},
number={2},
pages={37--42},
year={2015},
url={http://pubs.sciepub.com/tjant/3/2/1},
issn={2333-1232},
abstract={In 1894, Rogers found the two identities for the first time. In 1913, Ramanujan found the two identities later and then the two identities are known as The Rogers-Ramanujan Identities. In 1982, Baxter used the two identities in solving the Hard Hexagon Model in Statistical Mechanics. In 1829 Jacobi proved his triple product identity; it is used in proving The Rogers-Ramanujan Identities. In 1921, Ramanujan used Jacobi¡¯s triple product identity in proving his famous partition congruences. This paper shows how to generate the generating function for C'(n), C<SUB>1</SUB>'(n), C''(n),  and C<SUB>1</SUB>''(n), and shows how to prove the Corollaries 1 and 2 with the help of Jacobi¡¯s triple product identity. This paper shows how to prove the Remark 3 with the help of various auxiliary functions and shows how to prove The Rogers-Ramanujan Identities with help of Ramanujan¡¯s device of the introduction of a second parameter a.},
doi={10.12691/tjant-3-2-1}
publisher={Science and Education Publishing}
}