2024/2025
Special Functions
Type:
Optional course (faculty)
Delivered by:
Faculty of Mathematics
Where:
Faculty of Mathematics
When:
3, 4 module
Open to:
students of all HSE University campuses
Instructors:
Sergey Mikhailovich Khoroshkin
Language:
English
ECTS credits:
6
Contact hours:
72
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.