Abstract:
The paper provides an explicit solution to the well-known problem of differentiation of hyperelliptic functions with respect to parameters of the corresponding hyperelliptic curve.
Keywords:
sigma function, generators of the field of hyperelliptic functions, heat equation, Schrödinger equation, nonholonomic frame, Lie algebra of differential operators.
Citation:
E. Yu. Bunkova, V. M. Buchstaber, “Explicit Formulas for Differentiation of Hyperelliptic Functions”, Mat. Zametki, 114:6 (2023), 808–821; Math. Notes, 114:6 (2023), 1151–1162