A Classical Limit of Noumi's $q$ -Integral Operator

preprint2015arXivOpen access

We demonstrate how a known Whittaker function integral identity arises from the $t=0$ and $q\to 1$ limit of the Macdonald polynomial eigenrelation satisfied by Noumi's $q$ -integral operator.

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A Classical Limit of Noumi's $q$ -Integral Operator

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A Classical Limit of Noumi's qqq-Integral Operator

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A Classical Limit of Noumi's $q$ -Integral Operator