Radon-Nikodym theorem with respect to $(ρ,q)$-measure on $\Bbb Z_p$

Araci et al. introduced a $p$-adic $(ρ,q)$-analogue of the Haar distribution. By means of the distribution, they constructed the $p$-adic $(ρ,q)$-Volkenborn integral. In this paper, by virtue of the Mahler expansion of continuous functions, the author gives the Radon-Nikodym theorem with respect to the $p$-adic $(ρ,q)$-distribution on $\Bbb Z_p$.

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