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Variants of confluent q-hypergeometric equations

Published 27 May 2020 in math.CA, math-ph, and math.MP | (2005.13223v2)

Abstract: Variants of the q-hypergeometric equation were introduced in our previous paper with Hatano. In this paper, we consider degenerations of the variant of the q-hypergeometric equation, which is a q-analogue of confluence of singularities in the setting of the differential equation. We also consider degenerations of solutions to the q-difference equations.

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