Keywords
Quasi-Shuffle Product
Special Functions
Harmonic Sum
Polyzetas
Polylogarithm Function.
Special Functions
Harmonic Sum
Polyzetas
Polylogarithm Function.
How to Cite
1.
Chien BV. Representation of some special functions on transcendence basis. hueuni-jns [Internet]. 2020Jun.22 [cited 2024Apr.20];129(1B):79-86. Available from: http://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/5636
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.References
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