Integral representations for elliptic functions

We derive new integral representations for constituents of the classical theory of elliptic functions: the Eisenstein series, and Weierstrass' ℘ and ζ functions. The derivations proceed from the Laplace–Mellin representation of multipoles, and an elementary lemma on the summation of 2D geometri...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 316; no. 1; pp. 142 - 160
Main Authors:	Dienstfrey, Andrew, Huang, Jingfang
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 01.04.2006 Elsevier
Subjects:	Eisenstein series Elliptic functions Exact sciences and technology Functions of a complex variable Lattice sums Mathematical analysis Mathematics Planewave expansions Sciences and techniques of general use Several complex variables and analytic spaces Special functions Planewave expansions Eisenstein series Elliptic functions Lattice sums Complex function Lattice sum Analytic continuation Elliptic function Weierstrass functions Mathematical analysis Plane wave Entire function Integral representation Summation
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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