EllipticExp

Notations

Traditional name

Traditional notation

Mathematica StandardForm notation

Primary definition

Specific values

Specialized values

General characteristics

Domain and analyticity

eexp(z;a,b) is an vector-valued function of z, a and b, that is analytic in each component and it is defined over (ℂ^3).

Symmetries and periodicities

Mirror symmetry

Periodicity

No periodicity

Branch points

Branch points locations: complicated

Branch cuts

Branch cut locations: complicated

Differential equations

Ordinary nonlinear differential equations

Identities

Functional identities

Differentiation

Low-order differentiation

With respect to z

Representations through equivalent functions

With inverse function

With related functions

Involving Jacobi functions

Involving Weierstrass functions

History

– D. Masser (1975)

Copyright