Representation of some special functions on transcendence basis
Tập 129 Số 1B (2020), Nghiên cứu
Tập 129 Số 1B (2020)

Representation of some special functions on transcendence basis

Nghiên cứu
https://doi.org/10.26459/hueuni-jns.v129i1B.5636
Đã xuất bản 2020-06-22
Bui Van Chien
University of Sciences, Hue University, 77 Nguyen Hue St., Hue, Vietnam

Tóm tắt

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.
https://doi.org/10.26459/hueuni-jns.v129i1B.5636
PDF (English)

Tài liệu tham khảo

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