order of an elliptic function
The order of an elliptic function is the number of poles of the function contained within a fundamental period parallelogram, counted with multiplicity. Sometimes the term “degree” is also used — this usage agrees with the theory of Riemann surfaces.
This order is always a finite number; this follows from the fact that a meromorphic function can only have a finite number of poles in a compact region (such as the closure of a period parallelogram). As it turns out, the order can be any integer greater than 1.
|Title||order of an elliptic function|
|Date of creation||2013-03-22 15:44:35|
|Last modified on||2013-03-22 15:44:35|
|Last modified by||rspuzio (6075)|