Analytic continuation of Kochubei multiple polylogarithms and its applications

Abstract In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms by using the techniques developed in Furusho (Tunis J Math 4–3:559–58, 2022). Moreover, we produce a family of linear relations and a linear independence result for values of our analytically continued Kochubei polylogarithms at algebraic elements from a cohomological aspect.