{"paper":{"title":"A new approach to the connection problem for local solutions to the general Heun equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"P. P. Fiziev","submitted_at":"2016-06-28T02:30:10Z","abstract_excerpt":"We present new solution of the the connection problem for local solutions to the general Heun equation. Our approach is based on the symmetric form of the Heun's differential equation \\cite{Fiziev14,Fiziev16} with four different regular singular points $z_{1,2,3,4}$. The four special regular points in the complex plane: $Z_{123},Z_{234},Z_{341},Z_{412}$ are the centers of the circles, defined by the different triplets $\\{z_k,z_l,z_m\\}$ with corresponding different indexes and play fundamental role, since the coefficients of the connection matrix can be expressed using the values of local solut"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08539","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}