- and circular
cross-sections have the same diameter
as each other. The lemniscatic elliptic functions
of trigonometric functions
for the lemniscate...
- In mathematics, a lemniscatic elliptic function
is an elliptic function related
to the arc length
of a lemniscate
of Bernoulli studied
- elliptic functions
with complex multiplication
by √−1 is called
case in some sources. Using
the elliptic integral
F ( x ) = def ∫ 0 x...
- page follows
and Stegun; see also the lemniscatic
case. (These are special examples
multiplication.) In the...
- Look up lemniscate, lemniscates, or lemniscatic
in Wiktionary, the free dictionary....
- cosecant, exc): Hyperbolic cosine Hyperbolic cosecant Hyperbolic cotangent Lemniscatic cosine Jacobi elliptic cosine Cologarithm Covariance
List of trigonometric...
- a regular, two-dimensional lattice. Corresponding properties
of the lemniscatic elliptic functions
had also been established
by Gauss, but not published...
is [0, 1, 5, 21, 3, 4, 14, ...]. (sequence A053002 in the OEIS) Lemniscatic elliptic function
convexity : problems...
- then this is known
as the equianharmonic
case; g2 = 1, g3 = 0 is the lemniscatic
case. With this notation, the ℘ function satisfies
both with the trigonometric functions
(circular functions) and the lemniscatic functions which Gauss
at in his Disquisitiones