Representation of some special functions on transcendence basis
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Keywords

Quasi-Shuffle Product
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 2024Dec.14];129(1B):79-86. Available from: https://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.
https://doi.org/10.26459/hueuni-jns.v129i1B.5636
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References

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