Interface to GiNaC's integration kernels for iterated integrals. More...

#include "basic.h"
#include "archive.h"
#include "numeric.h"
#include <cln/complex.h>
#include <vector>

Classes
class	GiNaC::integration_kernel
	The base class for integration kernels for iterated integrals. More...

class	GiNaC::basic_log_kernel
	The basic integration kernel with a logarithmic singularity at the origin. More...

class	GiNaC::multiple_polylog_kernel
	The integration kernel for multiple polylogarithms. More...

class	GiNaC::ELi_kernel
	The ELi-kernel. More...

class	GiNaC::Ebar_kernel
	The Ebar-kernel. More...

class	GiNaC::Kronecker_dtau_kernel
	The kernel corresponding to integrating the Kronecker coefficient function $g^{(n)}(z_j,K \tau)$ in $\tau$ (or equivalently in $\bar{q}$ ). More...

class	GiNaC::Kronecker_dz_kernel
	The kernel corresponding to integrating the Kronecker coefficient function $g^{(n-1)}(z-z_j, K \tau)$ in . More...

class	GiNaC::Eisenstein_kernel
	The kernel corresponding to the Eisenstein series $E_{k,N,a,b,K}(\tau)$ . More...

class	GiNaC::Eisenstein_h_kernel
	The kernel corresponding to the Eisenstein series $h_{k,N,r,s}(\tau)$ . More...

class	GiNaC::modular_form_kernel
	A kernel corresponding to a polynomial in Eisenstein series. More...

class	GiNaC::user_defined_kernel
	A user-defined integration kernel. More...

Namespaces
	GiNaC

Functions
ex	GiNaC::ifactor (const numeric &n)
	Returns the decomposition of the positive integer n into prime numbers in the form lst( lst(p1,...,pr), lst(a1,...,ar) ) such that n = p1^a1 ... More...

bool	GiNaC::is_discriminant_of_quadratic_number_field (const numeric &n)
	Returns true if the integer n is either one or the discriminant of a quadratic number field. More...

numeric	GiNaC::kronecker_symbol (const numeric &a, const numeric &n)
	Returns the Kronecker symbol a: integer n: integer. More...

numeric	GiNaC::primitive_dirichlet_character (const numeric &n, const numeric &a)
	Defines a primitive Dirichlet character through the Kronecker symbol. More...

numeric	GiNaC::dirichlet_character (const numeric &n, const numeric &a, const numeric &N)
	Defines a Dirichlet character through the Kronecker symbol. More...

numeric	GiNaC::generalised_Bernoulli_number (const numeric &k, const numeric &b)
	The generalised Bernoulli number. More...

ex	GiNaC::Bernoulli_polynomial (const numeric &k, const ex &x)
	The Bernoulli polynomials. More...

	GiNaC::GINAC_DECLARE_UNARCHIVER (integration_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (basic_log_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (multiple_polylog_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (ELi_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (Ebar_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (Kronecker_dtau_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (Kronecker_dz_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (Eisenstein_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (Eisenstein_h_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (modular_form_kernel)

	GiNaC::GINAC_DECLARE_UNARCHIVER (user_defined_kernel)

Detailed Description

Interface to GiNaC's integration kernels for iterated integrals.

Definition in file integration_kernel.h.

Classes

Namespaces

Functions

Detailed Description