Representation of some special functions on transcendence basis


Quasi-Shuffle Product
Special Functions
Harmonic Sum
Polylogarithm Function.

How to Cite

Chien BV. Representation of some special functions on transcendence basis. hueuni-jns [Internet]. 2020Jun.22 [cited 2024Feb.26];129(1B):79-86. Available from:


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.


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