The Weierstrass excess function
نویسندگان
چکیده
منابع مشابه
An Elliptic Function – The Weierstrass Function
Definition W.1 An elliptic function f (z) is a non constant meromorphic function on C that is doubly periodic. That is, there are two nonzero complex numbers ω 1 , ω 2 whose ratio is not real, such that f (z + ω 1) = f (z) and f (z + ω 2) = f (z). Fix two real numbers β, γ > 0. The Weierstrass function with primitive periods γ and iβ is the function ℘ : C → C defined by ℘(z) = 1 z 2 + ω∈γZ Z⊕iβ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1972
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1972.41.529