Elliptic functions to the quintic base
``We study two elliptic functions to the quintic base and find two nonlinear second order differential equations satisfied by them. We then derive two recurrence relations involving certain Eisenstein series associated with the group \(\Gamma _0(5)\). These recurrence relations allow us to derive infinite families of identities involving Eisenstein series and Dedekind \(\eta \)-products. An imaginary transformation for one of the elliptic functions is also derived.''
scientific article; zbMATH DE number 5173469