Generalized Arakawa-Kaneko zeta functions

DOI10.1080/10652469.2018.1562450zbMath1439.11226arXiv1707.06771OpenAlexW2964328921MaRDI QIDQ4622842

Kwang-Wu Chen

Publication date: 18 February 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06771

zbMATH Keywords

multiple zeta valuesArakawa-Kaneko zeta functionsgeneralized harmonic functionsmodified Bell polynomials

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other Dirichlet series and zeta functions (11M41) Hurwitz and Lerch zeta functions (11M35)

Related Items (10)

Finite Hurwitz-Lerch functions ⋮ Apéry-type series and colored multiple zeta values ⋮ Alternating multiple zeta values, and explicit formulas of some Euler-Apéry-type series ⋮ Unnamed Item ⋮ Explicit formulas of sums involving harmonic numbers and Stirling numbers ⋮ Explicit relations between multiple zeta values and related variants ⋮ Duality formulas for Arakawa-Kaneko zeta values and related variants ⋮ Evaluations of some Euler-Apéry-type series ⋮ On the convolutions of sums of multiple zeta(-star) values of height one ⋮ Weighted sum formulas from shuffle products of multiple zeta-star values

Cites Work

• Unnamed Item
• Unnamed Item
• A new class of identities involving Cauchy numbers, harmonic numbers and zeta values
• Massive Feynman diagrams and inverse binomial sums
• A generalization of the duality and sum formulas on the multiple zeta values
• Inverse binomial series and values of Arakawa-Kaneko zeta functions
• Sum formula of multiple Hurwitz-zeta values
• Poly-Bernoulli numbers and polynomials with a \(q\) parameter
• Bernoulli and poly-Bernoulli polynomial convolutions and identities of p-adic Arakawa–Kaneko zeta functions
• Generalized harmonic numbers and Euler sums
• MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• Polylogarithmic zeta functions and their p-adic analogues
• Some identities for multiple Hurwitz-zeta values
• On functions of Arakawa and Kaneko and multiple zeta values
• The Arakawa-Kaneko zeta function

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