Про область аналітичного продовження гіпергеометричних функцій Лаурічелли–Сарана $F_M$ та їх відношень
DOI:
https://doi.org/10.3842/umzh.v77i9.9105Ключові слова:
гіпергеометрична функція, гіллястий ланцюговий дріб, голоморфна функція, апроксимація раціональними функціями, збіжність, аналітичне продовженняАнотація
УДК 517.5
Розглянуто задачу розширення гіпергеометричних функцій Лаурічелли-Сарана $F_M$ гіллястими ланцюговими дробами. У тривимірному комплексному просторі встановлено область аналітичного продовження гіпергеометричних функції Лаурічелли-Сарана $F_M$ та їх відношень.
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