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• W1609831025 abstract "By using $q$-Volkenborn integration and uniform differentiable on $mathbb{Z}%_{p}$, we construct $p$-adic $q$-zeta functions. These functions interpolate the $q$-Bernoulli numbers and polynomials. The value of $p$-adic $q$-zeta functions at negative integers are given explicitly. We also define new generating functions of $q$-Bernoulli numbers and polynomials. By using these functions, we prove analytic continuation of some basic (or $q$-) $L$% -series. These generating functions also interpolate Barnes' type Changhee $% q $-Bernoulli numbers with attached to Dirichlet character as well. By applying Mellin transformation, we obtain relations between Barnes' type $q$% -zeta function and new Barnes' type Changhee $q$-Bernolli numbers. Furthermore, we construct the Dirichlet type Changhee (or $q$-) $L$% -functions." @default.
• W1609831025 created "2016-06-24" @default.
• W1609831025 creator A5014126422 @default.
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• W1609831025 date "2005-02-01" @default.
• W1609831025 modified "2023-10-06" @default.
• W1609831025 title "$q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series" @default.
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• W1609831025 hasPublicationYear "2005" @default.
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