Abstract
In a previous paper, we showed that the elliptic digamma function, defined by the logarithmic derivative of the elliptic gamma function, satisfies an addition type formula. The integrals appearing in this formula can be considered to be one-parameter deformations of q-double zeta values and thus two-parameter deformations of double zeta values. In this paper, we introduce certain integrals, regarded as two-parameter deformations of multiple zeta values, and investigate their properties. In particular, we consider two-parameter generalizations of the harmonic and shuffle product formulas, which are fundamental relations for multiple zeta values.
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