On a generalized basic series and Rogers–Ramanujan type identities - II
Abstract
This paper is in continuation with our recent paper “On a generalized basic series and Rogers-Ramanujan type identities”. Here, we consider two generalized basic series and interpret these basic series as the generating function of some restricted $(n + t)$-color partitions and restricted weighted lattice paths. The basic series discussed in the aforementioned paper, is now a mere particular case of one of the generalized basic series that are discussed in this paper. Besides, eight particular cases are also discussed which give combinatorial interpretations of eight Rogers–Ramanujan type identities which are combinatorially unexplored till date.
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