The purpose of this paper is to introduce a generalization of the Arakawa-Kaneko zeta function and investigate their special values at negative integers. The special values are written as the sums of products of Bernoulli and poly-Bernoulli polynomials. We establish the basic properties for this zeta function and their special values
The Arakawa-Kaneko zeta function has been introduced ten years ago by T. Arakawa and M. Kaneko in [2...
AbstractIn this work we construct new analogues of Bernoulli numbers and polynomials. We define the ...
In this paper, we show some relationships between poly-Cauchy numbers introduced by T. Komatsu and ...
The purpose of this paper is to introduce a generalization of the Arakawa-Kaneko zeta function and i...
AbstractWe introduce and investigate generalized poly-Bernoulli numbers and polynomials. We state an...
International audienceIn this article, we present a variety of evaluations of series of polylogarith...
AbstractDifferent two generalizations of the Dirichlet L-functions which are based on the constructi...
By using the generalized Bernoulli numbers, we deduce new integral representations for the Riemann z...
We study the interplay between recurrences for zeta related functions at integer values, `Minor Corn...
We study the interplay between recurrences for zeta related functions at integer values, `Minor Corn...
We study the interplay between recurrences for zeta related functions at integer values, `Minor Corn...
We study the interplay between recurrences for zeta related functions at integer values, `Minor Corn...
In this paper, we will establish many explicit relations between parametric Ap\'{e}ry-type series in...
AbstractExpressions for the polygamma function ψ(k)(x) for the arguments x=14 and x=14 are given in ...
The behaviour of the real roots of the Bernoulli polynomials Bm(a) for large m is investigated
The Arakawa-Kaneko zeta function has been introduced ten years ago by T. Arakawa and M. Kaneko in [2...
AbstractIn this work we construct new analogues of Bernoulli numbers and polynomials. We define the ...
In this paper, we show some relationships between poly-Cauchy numbers introduced by T. Komatsu and ...
The purpose of this paper is to introduce a generalization of the Arakawa-Kaneko zeta function and i...
AbstractWe introduce and investigate generalized poly-Bernoulli numbers and polynomials. We state an...
International audienceIn this article, we present a variety of evaluations of series of polylogarith...
AbstractDifferent two generalizations of the Dirichlet L-functions which are based on the constructi...
By using the generalized Bernoulli numbers, we deduce new integral representations for the Riemann z...
We study the interplay between recurrences for zeta related functions at integer values, `Minor Corn...
We study the interplay between recurrences for zeta related functions at integer values, `Minor Corn...
We study the interplay between recurrences for zeta related functions at integer values, `Minor Corn...
We study the interplay between recurrences for zeta related functions at integer values, `Minor Corn...
In this paper, we will establish many explicit relations between parametric Ap\'{e}ry-type series in...
AbstractExpressions for the polygamma function ψ(k)(x) for the arguments x=14 and x=14 are given in ...
The behaviour of the real roots of the Bernoulli polynomials Bm(a) for large m is investigated
The Arakawa-Kaneko zeta function has been introduced ten years ago by T. Arakawa and M. Kaneko in [2...
AbstractIn this work we construct new analogues of Bernoulli numbers and polynomials. We define the ...
In this paper, we show some relationships between poly-Cauchy numbers introduced by T. Komatsu and ...
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