• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.443-454
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• 2021

In this paper, we discuss the backward extensions of Bergman shifts W_α(m), where $${\alpha}(m)\;:\;\sqrt{\frac{m}{m+1}},\;{\sqrt{\frac{m+1}{m+2}}},\;{\cdots},\;(m{\in}\mathbb{N})$$. We obtained a complete description of the n-hynonormality for backward one, two and three step extensions.