harmonic_sum_to_Infinity Class Reference
#include <harmonic_sum_to_Infinity.h>
Inheritance diagram for harmonic_sum_to_Infinity:
Public Member Functions | |
| harmonic_sum_to_Infinity (const GiNaC::ex &llc) | |
| void | archive (GiNaC::archive_node &node) const override |
| void | read_archive (const GiNaC::archive_node &node, GiNaC::lst &sym_lst) override |
| GiNaC::return_type_t | return_type_tinfo () const override |
| void | print (const GiNaC::print_context &c, unsigned level=0) const override |
| GiNaC::ex | eval () const override |
 Public Member Functions inherited from Ssum_to_Infinity | |
| Ssum_to_Infinity (const GiNaC::ex &llc) | |
| void | archive (GiNaC::archive_node &node) const override |
| void | read_archive (const GiNaC::archive_node &node, GiNaC::lst &sym_lst) override |
| GiNaC::ex | eval () const override |
| Public Member Functions inherited from Ssum | |
| Ssum (const GiNaC::ex &nc) | |
| Ssum (const GiNaC::ex &nc, const GiNaC::ex &llc) | |
| void | archive (GiNaC::archive_node &node) const override |
| void | read_archive (const GiNaC::archive_node &node, GiNaC::lst &sym_lst) override |
| unsigned | return_type (void) const override |
| void | print (const GiNaC::print_context &c, unsigned level=0) const override |
| unsigned | precedence (void) const override |
| GiNaC::ex | eval () const override |
| GiNaC::ex | subs (const GiNaC::exmap &m, unsigned options=0) const override |
| virtual GiNaC::ex | refine_exvector (unsigned q, const GiNaC::exvector &Z0, const GiNaC::exvector &Z1) const |
| virtual GiNaC::ex | refine (unsigned q) const |
| virtual GiNaC::ex | index_eq_one (void) const |
| virtual GiNaC::ex | get_head (int k) const |
| virtual GiNaC::ex | get_tail (int k) const |
| virtual int | flag_remove_negative_degrees (void) const |
| virtual GiNaC::ex | remove_negative_degrees (void) const |
| virtual GiNaC::ex | expand_members (int level=0) const |
| virtual GiNaC::ex | eval_explicit () const |
| virtual GiNaC::ex | get_first_letter (void) const |
| virtual GiNaC::ex | prepend_letter (const GiNaC::ex &lc) const |
| virtual GiNaC::ex | prepend_letter (const GiNaC::ex &nc, const GiNaC::ex &lc) const |
| virtual GiNaC::ex | append_letter (const GiNaC::ex &lc) const |
| virtual GiNaC::ex | append_letter_list (const GiNaC::ex &lc) const |
| GiNaC::ex | get_index (void) const |
| GiNaC::ex | get_letter_list (void) const |
| unsigned | get_depth (void) const |
| GiNaC::ex | get_weight (void) const |
| Public Member Functions inherited from harmonic_sum | |
| harmonic_sum (const GiNaC::ex &nc) | |
| harmonic_sum (const GiNaC::ex &nc, const GiNaC::ex &llc) | |
| void | archive (GiNaC::archive_node &node) const override |
| void | read_archive (const GiNaC::archive_node &node, GiNaC::lst &sym_lst) override |
| GiNaC::return_type_t | return_type_tinfo () const override |
| void | print (const GiNaC::print_context &c, unsigned level=0) const override |
| GiNaC::ex | eval () const override |
| GiNaC::ex | convert_to_Zsum_exvector (const GiNaC::exvector &Z0, const GiNaC::exvector &Z1) const override |
| GiNaC::ex | shuffle_exvector (const GiNaC::exvector &Z0, const GiNaC::exvector &Z1, const GiNaC::exvector &Z2) const override |
| GiNaC::ex | set_index (const GiNaC::ex &i) const override |
| GiNaC::ex | shift_plus_one (void) const override |
| GiNaC::ex | shift_minus_one (void) const override |
| GiNaC::ex | adjust_upper_limit_downwards (const GiNaC::ex &i) const override |
| GiNaC::ex | adjust_upper_limit_upwards (const GiNaC::ex &i) const override |
| GiNaC::ex | adjust_upper_limit_plus_one (void) const override |
| GiNaC::ex | remove_first_letter (void) const override |
| GiNaC::ex | remove_first_letter (const GiNaC::ex &nc) const override |
Additional Inherited Members | |
| Protected Member Functions inherited from Ssum | |
| GiNaC::ex | eval_ncmul (const GiNaC::exvector &v) const override |
| GiNaC::ex | derivative (const GiNaC::symbol &s) const override |
| unsigned | calchash (void) const override |
| virtual GiNaC::ex | cast_to_Zsum (void) const |
| virtual GiNaC::ex | multiply_letter_with_last_letter (const GiNaC::ex &lc) const |
| virtual GiNaC::ex | multiply_letter_with_first_letter (const GiNaC::ex &lc) const |
| virtual GiNaC::ex | concat_two_sums (const GiNaC::ex &Z1, const GiNaC::ex &Z2) const |
| Protected Attributes inherited from Ssum | |
| GiNaC::ex | n |
| GiNaC::ex | letter_list |
Detailed Description
A harmonic_sum_to_Infinity is a special case of a Ssum_to_Infinity and a special case of a harmonic_sum. Harmonic sums to Infinity are defined by
![\[
S(\infty;m_1,...,m_k;1,...,1)
\]](form_81_dark.png)
Member Function Documentation
◆ eval()
|
override |
No simplifications implemented.
The documentation for this class was generated from the following files:
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