Aquileo | DLMF: Figure 23.4.5 ‣ §23.4 Graphics ‣ Weierstrass Elliptic Functions ‣ Chapter 23 Weierstrass Elliptic and Modular Functions

About the Project

23 Weierstrass Elliptic and Modular Functions Weierstrass Elliptic Functions 23.4 Graphics 23.4 Graphics 23.5 Special Lattices

Figure 23.4.5 (See in context.)

See accompanying text

Figure 23.4.5: $\sigma\left(x;g_{2},0\right)$ for $-5\leq x\leq 5$ , $g_{2}$ = 0.1, 0.2, 0.5, 0.8. (Lemniscatic case.)

ⓘ

Annotations:

Symbols:: $g_{\NVar{j}}$ : Weierstrass lattice invariants $g_{2}$ , $g_{3}$ , $\sigma\left(\NVar{z};\NVar{g_{2}},\NVar{g_{3}}\right)$ : Weierstrass sigma function, $\mathbb{L}$ : lattice and : real part of
Permalink:: http://dlmf.nist.gov/23.4.F5.mag
Encodings:: Magnified png, pdf
See also:: Annotations for §23.4 and Ch.23

23.4 Graphics 23.5 Special Lattices

© 2010–2026 NIST / Disclaimer / Feedback; Version 1.2.7; Release date 2026-06-15 Math-Image version (See MathML) .

NIST

Site Privacy Accessibility Privacy Program Copyrights Vulnerability Disclosure No Fear Act Policy FOIA Environmental Policy Scientific Integrity Information Quality Standards Commerce.gov Science.gov USA.gov