P.laurent: Laurent series for elliptic and related functions

In RobinHankin/elliptic: Weierstrass and Jacobi Elliptic Functions

Laurent series for elliptic and related functions

Description

Laurent series for various functions

Usage

        P.laurent(z, g=NULL, tol=0, nmax=80)
    Pdash.laurent(z, g=NULL, nmax=80)
    sigma.laurent(z, g=NULL, nmax=8, give.error=FALSE)
sigmadash.laurent(z, g=NULL, nmax=8, give.error=FALSE)
     zeta.laurent(z, g=NULL, nmax=80)

Arguments

z	Primary argument (complex)
g	Vector of length two with g=c(g2,g3)
tol	Tolerance
give.error	In sigma.laurent(), Boolean with default FALSE meaning to return the computed value and TRUE to return the error (as estimated by the sum of the absolute values of the terms along the minor long diagonal of the matrix)

.

nmax	Number of terms used (or, for sigma(), the size of matrix used)

Author(s)

Robin K. S. Hankin

Examples

sigma.laurent(z=1+1i,g=c(0,4))
  

RobinHankin/elliptic documentation built on Feb. 21, 2024, 6:28 a.m.