Special functions 1000-1M23FS
The course is devoted to the most important special functions and their applications to differential equations. Selected topics:
Differential equations in the complex domain and their singular points. and Hypergeometric functions and equations.
Confluent and Bessel equations and functions.
Orthogonal polynomials. Classical orthogonal polynomials: Hermite, Laguerre, Jacobi and Legendre. Selected integral transformations. Multiple orthogonal polynomials. Non-linear special functions (elliptic, Painleve).
Type of course
Prerequisites (description)
Course coordinators
Learning outcomes
Knowledge: Knowledge of basic special functions
Skills: Solving simple tasks using the most common special functions.
Attitude: Appreciating the beauty, depth, and usefulness of special functions.
Assessment criteria
Exam or a project
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: