Applications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic q-sums
Abstract
Maesaka, Seki and Watanabe proved a formula for multiple harmonic sums. Yamamoto generalized it to Schur-type multiple harmonic sums, and the second author proved a q-analogue of this generalization. In this paper, we give two applications of the q-analogue formula. The first is an alternative proof of the duality of a q-analogue of multiple zeta values. The second is a proof of an identity for a q-analogue of the Kawashima function.
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