Identities of the Rogers--Ramanujan--Bailey Type
Classical Analysis and ODEs
2018-12-12 v1
Abstract
A multiparameter generalization of the Bailey pair is defined in such a way as to include as special cases all Bailey pairs considered by W. N. Bailey in his paper, "Identities of the Rogers-Ramanujan type," [Proc. London Math. Soc. (2), 50 (1949), 421--435]. This leads to the derivation of a number of elegant new Rogers-Ramanujan type identities.
Cite
@article{arxiv.1812.04459,
title = {Identities of the Rogers--Ramanujan--Bailey Type},
author = {Andrew V. Sills},
journal= {arXiv preprint arXiv:1812.04459},
year = {2018}
}
Comments
23 pages