AbstractExpressions for the polygamma function ψ(k)(x) for the arguments x=14 and x=14 are given in terms of Bernoulli numbers, Euler numbers, the Riemann zeta function for odd integer arguments, and the related series of reciprocal powers of integers β(m)
An investigation into a family of definite integrals containing log-polylog functions will be undert...
Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely ...
We derive some series related to the polylogarithmic function, and we also give a new proof to the e...
AbstractExpressions for the polygamma function ψ(k)(x) for the arguments x=14 and x=14 are given in ...
AbstractWe introduce and investigate generalized poly-Bernoulli numbers and polynomials. We state an...
AbstractIn this note we present some new and structural inequalities for digamma, polygamma and inve...
The purpose of this paper is to introduce a generalization of the Arakawa-Kaneko zeta function and i...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
By using the generalized Bernoulli numbers, we deduce new integral representations for the Riemann z...
AbstractThe analytic calculation of a generalization of the integral representation of the polylogar...
AbstractThe algebra of polylogarithms (iterated integrals over two differential forms ω0=dz/z and ω1...
Gauss in 1812, in his celebrated memoir on the hypergeometric series, presented a remarkable formula...
International audienceFor positive integers $s_1,\ldots,s_k$ with $s_1\ge 2$, the series $$ \sum_{n_...
Many interesting solutions of the so-called Basler problem of evaluating the Riemann zeta function ζ...
Quickly converging series are given to compute polyzeta numbers ζ(r1, . . . , rk). The formulas invo...
An investigation into a family of definite integrals containing log-polylog functions will be undert...
Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely ...
We derive some series related to the polylogarithmic function, and we also give a new proof to the e...
AbstractExpressions for the polygamma function ψ(k)(x) for the arguments x=14 and x=14 are given in ...
AbstractWe introduce and investigate generalized poly-Bernoulli numbers and polynomials. We state an...
AbstractIn this note we present some new and structural inequalities for digamma, polygamma and inve...
The purpose of this paper is to introduce a generalization of the Arakawa-Kaneko zeta function and i...
AbstractLiouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negativ...
By using the generalized Bernoulli numbers, we deduce new integral representations for the Riemann z...
AbstractThe analytic calculation of a generalization of the integral representation of the polylogar...
AbstractThe algebra of polylogarithms (iterated integrals over two differential forms ω0=dz/z and ω1...
Gauss in 1812, in his celebrated memoir on the hypergeometric series, presented a remarkable formula...
International audienceFor positive integers $s_1,\ldots,s_k$ with $s_1\ge 2$, the series $$ \sum_{n_...
Many interesting solutions of the so-called Basler problem of evaluating the Riemann zeta function ζ...
Quickly converging series are given to compute polyzeta numbers ζ(r1, . . . , rk). The formulas invo...
An investigation into a family of definite integrals containing log-polylog functions will be undert...
Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely ...
We derive some series related to the polylogarithmic function, and we also give a new proof to the e...
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