p-adic q-integrals associated with the Changhee–Barnes' q-Bernoulli polynomials

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$q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series (2005, methodology): “A sequence of p-adic rational numbers as multiple Changhee q-Bernoulli numbers and polynomials are defined as follows[20], [27]: Let a1, .”
New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials (2007, methodology): “There is an unexpected connection of the p-adic Analysis with q-Analysis, Quantum Groups and Noncommutative Geometry (see [9], [10], [11], [12], [13], [27], [28]).”
A New approach to q-zeta function (2005, background): “Using Mellin transforms in Eq.(6), we obtain 1 Γ(s) ∫ ∞ 0 tF (h) q (−t, x)dt = ζ (h) q (s, x).”