%0 Journal Article
%T Some Modular Relations Analogues to the Ramanujan¡¯s Forty Identities with Its Applications to Partitions
%A Chandrashekar Adiga
%A Nasser Abdo Saeed Bulkhali
%J Axioms
%D 2013
%I MDPI AG
%R 10.3390/axioms2010020
%X Recently, the authors have established a large class of modular relations involving the Rogers-Ramanujan type functions J(q) and K(q) of order ten. In this paper, we establish further modular relations connecting these two functions with Rogers-Ramanujan functions, G£¿llnitz-Gordon functions and cubic functions, which are analogues to the Ramanujan¡¯s forty identities for Rogers-Ramanujan functions. Furthermore, we give partition theoretic interpretations of some of our modular relations.
%K Rogers-Ramanujan functions
%K theta functions
%K partitions
%K colored partitions
%K modular relations
%U http://www.mdpi.com/2075-1680/2/1/20