Jackson q-Mahler measures
Miki Hirano and Nobushige Kurokawa
Source: Funct. Approx. Comment. Math. Volume 42, Number 1
(2010), 51-58.
Abstract
In this note, we define a $q$-analogue of the Mahler measures by using the Jackson integral which we call the Jackson $q$-Mahler measures. Especially we study their classical limit for polynomials of one variable.
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Functiones et Approximatio Commentarii Mathematici