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C

cn(Complex, Complex, Complex[], Complex) - Static method in class ellipticFunctions.Jacobi

Computes cn(u,k(τ)) for given latiuce paramter τ, and theta constants.

cn(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Returns cn(u,k).

cn(double, double) - Static method in class ellipticFunctions.Jacobi

Returns cn(u,k).

D

dn(Complex, Complex, Complex[], Complex) - Static method in class ellipticFunctions.Jacobi

Computes dn(u,k(τ)) for given latiuce paramter τ, and theta constants.

dn(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Returns dn(u,k).

dn(double, double) - Static method in class ellipticFunctions.Jacobi

Returns dn(u,k).

E

Elliptic - class ellipticFunctions.Elliptic.

Class provides Jacobi's elliptic theta functions.

ellipticFunctions - package ellipticFunctions

The ellipticFunctions package provides a library for elliptic functions.

J

Jacobi - class ellipticFunctions.Jacobi.

Implementation for Jacobi's elliptic functions.

K

KPrime_from_K_and_tau(Complex, Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Computes complementary quarter period K' as function of quarter period K and lattice parameter τ.

KPrime_from_K_and_tau(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Returns complementary quarter period K' as function of quarter period K and lattice parameter τ.

KPrime_from_k(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Computes cmplementary quarter period K' as function of the modulus k.

KPrime_from_k(Complex) - Static method in class ellipticFunctions.Jacobi

Returns complementary quarter Period K' as function of the modulus k.

K_from_KPrime_and_tau(Complex, Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Computes quarter period K as function of complementary quarter period K' and lattice parameter τ.

K_from_KPrime_and_tau(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Returns quarter period K as function of complementary quarter period K' and lattice parameter τ.

K_from_k(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Computes quarter period K as function of the modulus k.

K_from_k(Complex) - Static method in class ellipticFunctions.Jacobi

Returns quarter period K as function of the modulus k.

K_from_thetaConstants(Complex[], Complex) - Static method in class ellipticFunctions.Jacobi

Computes quarter period K as function of theta constants.

K_from_thetaConstants(Complex[]) - Static method in class ellipticFunctions.Jacobi

Returns quarter period K as function of theta constants.

kPrime_from_k(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Computes complementary modulus k' as function of the modulus.

kPrime_from_k(Complex) - Static method in class ellipticFunctions.Jacobi

Returns complementary modulus k' as function of the modulus.

kPrime_from_k(double) - Static method in class ellipticFunctions.Jacobi

Returns complementary modulus k' as function of the modulus.

kPrime_from_thetaConstants(Complex[], Complex) - Static method in class ellipticFunctions.Jacobi

Computes complementary modulus k' as function theta constants.

kPrime_from_thetaConstants(Complex[]) - Static method in class ellipticFunctions.Jacobi

Returns complementary modulus k' as function of theta constants.

k_from_thetaConstants(Complex[], Complex) - Static method in class ellipticFunctions.Jacobi

Computes modulus k as function of theta constants

k_from_thetaConstants(Complex[]) - Static method in class ellipticFunctions.Jacobi

Returns modulus k as function of theta constants.

S

sn(Complex, Complex, Complex[], Complex) - Static method in class ellipticFunctions.Jacobi

Computes sn(u,k(τ)) for given latiuce paramter τ, and theta constants.

sn(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Returns sn(u,k).

sn(double, double) - Static method in class ellipticFunctions.Jacobi

Returns sn(u,k).

T

tauPrime_from_tau(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Computes complementary lattice paramter τ' = -1/τ for lattice parameter τ.

tauPrime_from_tau(Complex) - Static method in class ellipticFunctions.Jacobi

Returns complementary lattice paramter τ' = -1/τ for lattice parameter τ.

tau_from_k(Complex, Complex) - Static method in class ellipticFunctions.Jacobi

Computes lattice parameter τ as function of modulus k.

tau_from_k(Complex) - Static method in class ellipticFunctions.Jacobi

Computes lattice parameter τ as function of modulus k.

theta(Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Computes θ(z,τ).

theta(Complex, Complex, Complex, Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Helps to compute θ(w,τ) = c θ(z,τ).

theta0(Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Computes θ₀(z,τ).

theta0(Complex, Complex, Complex, Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Helps to compute θ₀(w,τ) = c θ(z,τ).

theta1(Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Computes θ₁(z,τ).

theta1(Complex, Complex, Complex, Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Helps to compute θ₁(w,τ) = c θ(z,τ).

theta2(Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Computes θ₂(z,τ).

theta2(Complex, Complex, Complex, Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Helps to compute θ₂(w,τ) = c θ(z,τ).

theta3(Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Computes θ₃(z,τ).

theta3(Complex, Complex, Complex, Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Helps to compute θ₃(w,τ) = c θ(z,τ).

theta4(Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Computes θ₄(w,τ).

theta4(Complex, Complex, Complex, Complex, Complex) - Static method in class ellipticFunctions.Elliptic

Helps to compute θ₄(w,τ) = c θ(z,τ).

thetaConstants(Complex, Complex[]) - Static method in class ellipticFunctions.Elliptic

Computes theta constants θ₀(0,τ), θ₁(0,τ) = 0, θ₂(0,τ) = 0, and θ₃(0,τ).

thetaConstants(Complex) - Static method in class ellipticFunctions.Elliptic

Returns theta constants θ₀(0,τ), θ₁(0,τ) = 0, θ₂(0,τ) = 0, and θ₃(0,τ).

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