2024/2025
Специальные функции
Статус:
Дисциплина общефакультетского пула
Кто читает:
Факультет математики
Где читается:
Факультет математики
Когда читается:
3, 4 модуль
Охват аудитории:
для всех кампусов НИУ ВШЭ
Преподаватели:
Хорошкин Сергей Михайлович
Язык:
английский
Кредиты:
6
Course Syllabus
Abstract
The course suggests an accessible introduction to the theory of special functions of hypergeometric type. In particular, it concernes with Gauss hypergeometric function and functions given by transormations of degenerate hypergeometric function (Bessel dunction, Airy function, etc.) as well as their further generalizations: basic (q) hypergeometric series, elliptic hypergeometric functions and integrals. Nest to elementary functions, they are in the knowledge base of an educated mathematician, physicist, and chemist. The study of the properties of special functions reveals the elegance of methods that combine the means of real and complex analysis, differential and difference equations.