Some q-transformation formulas and Rogers-Ramanujan type identities
Abstract
In this paper, we explore the role that Liu's transformation formula can play in discovering Rogers-Ramanujan type identities. Specifically, we combine Liu's transformation formula with other q-series summations to derive a series of parameterized identities. Thereafter, through careful selection of these parameters, we obtain 75 Rogers-Ramanujan type identities from Slater's list, and uncover several new Rogers-Ramanujan type identities.
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