×

New modular relations for the Rogers-Ramanujan type functions of order fifteen. (English) Zbl 1325.33013

Summary: In this paper, we establish two modular relations for the Rogers-Ramanujan-Slater functions of order fifteen. These relations are analogues to Ramanujan’s famous forty identities for the Rogers-Ramanujan functions.
Furthermore, we give interesting partition theoretic interpretations of these relations.

MSC:

33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
11P83 Partitions; congruences and congruential restrictions
PDFBibTeX XMLCite