Some identities on the second order mock theta functions
Abstract
Recently, Nath and Das investigated congruence properties for the second order mock theta function B(q). In their paper, they asked for analytic proofs of three identities on the second order mock theta functions A(q), B(q) and μ2(q). In this paper, we settle Nath and Das' open problem by using the (p, k)-parametrization of theta functions and several identities due to Hickerson and Mortenson.
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