Duality of One-variable Multiple Polylogarithms and Their $q$-analogues
نویسندگان
چکیده
The duality relation of one-variable multiple polylogarithms was proved by Hirose, Iwaki, Sato and Tasaka means iterated integrals. In this paper, we give a new proof using the method connected sums, which recently invented Seki author. Interestingly, sum involves hypergeometric function in its connector. Moreover, introduce two kinds $q$-analogues generalize to them.
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 2023
ISSN: ['0387-3870']
DOI: https://doi.org/10.3836/tjm/1502179378