EXPLICIT RELATIONS BETWEEN KANEKO-YAMAMOTO TYPE MULTIPLE ZETA VALUES AND RELATED VARIANTS
نویسندگان
چکیده
In this paper we first establish several integral identities involving the multiple polylogarithm functions and Kaneko-Tsumura A-function, which can be thought as a single-variable function of level two. We find that these integrals expressed in terms zeta (star) values, their related variants (multiple t-values, T-values, S-values, etc.), harmonic sums T-harmonic sums, S-harmonic are closely to some special types Schur values generalizations. Using identities, prove many explicit evaluations Kaneko-Yamamoto variants. Further, derive relations
منابع مشابه
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2022
ISSN: ['1340-6116', '1883-2032']
DOI: https://doi.org/10.2206/kyushujm.76.369