Abstract

We discuss several result on ongoing work in collaboration (with I. Gaiur & D. Van Straten and with V. Buchstaber & I. Gaiur) on interesting properties of multiplicative generalized Bessel kernels, which include the famous Clausen and Sonine –Gegenbauer formulas, examples of polynomials for Kontsevich discriminant locus given as addition laws for special 2-valued formal groups (Buchstaber–Novikov–Veselov) as well as connections with «period functions» solving some Picard–Fuchs type equations and associated with analogues of Landau–Ginzburg superpotentials.