On Certain New Modular Relations for the Rogers-Ramanujan Type Functions of Order Ten and Applications to Partitions

Authors

  • C. Adiga
  • N. A. Saeed Bulkhali

DOI:

https://doi.org/10.1285/i15900932v34n2p41

Keywords:

Rogers-Ramanujan functions, theta functions, partitions, colored partitions, modular relations

Abstract

In this paper, we consider the Rogers-Ramanujan type functions J(q) and K(q) of order ten and establish several modular relations involving these identities, which are analogues to Ramanujan’s forty identities for the Rogers-Ramanujan functions. Furthermore, we give partition theoretic interpretations of some of our modular relations.

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Published

15-02-2015

Issue

Volume 34, Issue 2 (2014)

Section

Articoli

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