Definition of Elliptic function. Meaning of Elliptic function. Synonyms of Elliptic function

Here you will find one or more explanations in English for the word Elliptic function. Also in the bottom left of the page several parts of wikipedia pages related to the word Elliptic function and, of course, Elliptic function synonyms and on the right images related to the word Elliptic function.

Definition of Elliptic function

Elliptic function
Elliptic El*lip"tic, Elliptical El*lip"tic*al, a. [Gr. ?: cf. F. elliptique. See Ellipsis.] 1. Of or pertaining to an ellipse; having the form of an ellipse; oblong, with rounded ends. The planets move in elliptic orbits. --Cheyne. 2. Having a part omitted; as, an elliptical phrase. Elliptic chuck. See under Chuck. Elliptic compasses, an instrument arranged for drawing ellipses. Elliptic function. (Math.) See Function. Elliptic integral. (Math.) See Integral. Elliptic polarization. See under Polarization.

Meaning of Elliptic function from wikipedia

- complex analysis, an elliptic function is a meromorphic function that is periodic in two directions. Just as a periodic function of a real variable is...
- In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions, that are of historical importance...
- Weierstr****'s elliptic functions are elliptic functions that take a particularly simple form; they are named for Karl Weierstr****. This cl**** of functions are also...
- In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals. Originally, they arose in...
- mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. Every elliptic curve over a...
- In mathematics, a lemniscatic elliptic function is an elliptic function related to the arc length of a lemniscate of Bernoulli studied by Giulio Carlo...
- Rational functions of j are modular, and in fact give all modular functions. Cl****ically, the j-invariant was studied as a parameterization of elliptic curves...
- Abel elliptic functions are holomorphic functions of one complex variable and with two periods. They were first established by Niels Henrik Abel and are...
- of elliptic integrals; used to model double-periodic phenomena. Particular types are Weierstr****'s elliptic functions and Jacobi's elliptic functions and...
- field theory. The most common form of theta function is that occurring in the theory of elliptic functions. With respect to one of the complex variables...
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