Explicit relations between multiple zeta values and related variants
نویسندگان
چکیده
In this paper we present some new identities for multiple polylogarithms (abbr. MPLs) and harmonic star sums MHSSs) by using the methods of iterated integral computations logarithm functions. Then, applying these formulas obtained, establish explicit relations between Kaneko-Yamamoto type zeta values K-Y MZVs), MZVs) MPLs. Further, find MZVs MZSVs). Furthermore, define an Apéry-type variant MZSVs ? B ? ( k ) (called -star values, abbr. MZBSVs) which involve MHSSs central binomial coefficients, connections among MZVs, alternating MZBSVs method integrals. Finally, interesting consequences illustrative examples are presented.
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2021
ISSN: ['1090-2074', '0196-8858']
DOI: https://doi.org/10.1016/j.aam.2021.102245