TY - JOUR AU - Chien, Bui Van PY - 2020/06/22 Y2 - 2024/03/28 TI - Representation of some special functions on transcendence basis JF - Hue University Journal of Science: Natural Science JA - hueuni-jns VL - 129 IS - 1B SE - DO - 10.26459/hueuni-jns.v129i1B.5636 UR - https://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/5636 SP - 79-86 AB - The special functions such as multiple harmonic sums, polyzetas or multiple polylogarithm functions are compatible with quasi-shuffle algebras. By using transcendence bases of the quasi-shuffle algebras studied in the paper [4], we will express non-commutative generating series of these special functions and then identify on the local coordinates to reduce their polynomial relations or asymptotic expansions indexed by these bases. ER -