Representation of some special functions on transcendence basis
Vol. 129 No. 1B (2020), Original Article
Vol. 129 No. 1B (2020)

Representation of some special functions on transcendence basis

Original Article
https://doi.org/10.26459/hueuni-jns.v129i1B.5636
Published 2020-06-22
Bui Van Chien
University of Sciences, Hue University, 77 Nguyen Hue St., Hue, Vietnam
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Keywords

Quasi-Shuffle Product
Special Functions
Harmonic Sum
Polyzetas
Polylogarithm Function.

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1.
Chien BV. Representation of some special functions on transcendence basis. hueuni-jns [Internet]. 2020Jun.22 [cited 2024Nov.15];129(1B):79-86. Available from: http://222.255.146.83/index.php/hujos-ns/article/view/5636
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Abstract

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
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References

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