Integrals of <Emphasis Type="Italic">K</Emphasis> and <Emphasis Type="Italic">E</Emphasis> from lattice sums |
| |
| Authors: | J G Wan I J Zucker |
| |
| Institution: | 1.Engineering Systems and Design,Singapore University of Technology and Design,Singapore,Singapore;2.Department of Physics,Kings College London,London,UK |
| |
| Abstract: | We give closed form evaluations for many families of integrals, whose integrands contain algebraic functions of the complete elliptic integrals K and E. Our methods exploit the rich structures connecting complete elliptic integrals, Jacobi theta functions, lattice sums, and Eisenstein series. Various examples are given, and along the way new (including 10-dimensional) lattice sum evaluations are produced. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
