Autor:	Lisovyy, O., Naidiuk, A.
Rok vydání:	2022
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/ac9ba7
Popis:	Connection formulas relating Frobenius solutions of linear ODEs at different Fuchsian singular points can be expressed in terms of the large order asymptotics of the corresponding power series. We demonstrate that for the usual, confluent and reduced confluent Heun equation, the series expansion of the relevant asymptotic amplitude in a suitable parameter can be systematically computed to arbitrary order. This allows to check a recent conjecture of Bonelli-Iossa-Panea Lichtig-Tanzini expressing the Heun connection matrix in terms of quasiclassical Virasoro conformal blocks. Comment: 17 pages, 2 figures; v2: added refs
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.01604 Zobrazit plný text záznamu View this record from Arxiv