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arxiv: 1509.00701 · v2 · pith:2AUU4MDVnew · submitted 2015-09-02 · 🧮 math-ph · math.CO· math.MP· nlin.SI

A Classical Limit of Noumi's q-Integral Operator

classification 🧮 math-ph math.COmath.MPnlin.SI
keywords integrallimitnoumioperatorarisesclassicaldemonstrateeigenrelation
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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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