Geodesic
Explicit Formulas for Differentiation of Hyperelliptic Functions
Matematičeskie zametki, Tome 114 (2023) no. 6, pp. 808-821

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2023_114_6_a1,
     author = {E. Yu. Bunkova and V. M. Buchstaber},
     title = {Explicit {Formulas} for {Differentiation} of {Hyperelliptic} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {808--821},
     publisher = {mathdoc},
     volume = {114},
     number = {6},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2023_114_6_a1/}
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E. Yu. Bunkova; V. M. Buchstaber. Explicit Formulas for Differentiation of Hyperelliptic Functions. Matematičeskie zametki, Tome 114 (2023) no. 6, pp. 808-821. http://geodesic.mathdoc.fr/item/MZM_2023_114_6_a1/