In mathematics, and in particular the study of Weierstrass elliptic functions, the Equianharmonic case occurs when the Weierstrass invariants satisfy g₂ = 0 and g₃ = 1; This page follows the terminology of Abramowitz and Stegun; see also the lemniscatic case. Mathematics is the study of quantity, structure, space and change. ... In mathematics, Weierstrass introduced some particular elliptic functions that have become the basis for the most standard notations used. ... Abramowitz and Stegun is the informal moniker of a mathematical reference work edited by Milton Abramowitz and Irene Stegun of the U.S. National Bureau of Standards. ...

In the equianharmonic case, the minimal half period ω₂ is real and equal to where Γ is the Gamma function. The half period . The Gamma function along an interval In mathematics, the Gamma function is a function that extends the concept of factorial to the complex numbers. ...

The constants e₁, e₂ and e₃ are given by A mathematical constant is a quantity, usually a real number or a complex number, that arises naturally in mathematics and does not change. ...