| Code |
Course Name |
Language |
Type |
| MAT 366 |
Special Functions |
Turkish |
Elective |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 232 MIN DD
or MAT 232E MIN DD
|
| Class Restriction |
None |
| Course Description |
| The Gamma and Beta Functions. The behavior of Gamma function for large |z|. Hypergeometric Function; The function
F(a;b;c;z), integral representation, the evaluation of F(a;b;c;1), the contiguous function relations, the Hypergeometric
differential equation, the linear and quadratic transformations. Generalized Hypergeometric Functions; the functions pFq, the
expressions of some elemantary functions in terms of pFq , the integral representation of pFq. Bessel Functions; Bessel’s
differential equation, recurrence relations, the generating function, integral representation, relations with trigonometric
functions. Neumann polynomials and Neumann series. Confluent Hypergeometric Functions; the first and second formulas of
Kummer. Legendre polynomials; A generating function, recurrence relations, Legendre differential equation, the Rodrigues
formula, Legendre polynomials in terms of 2F1, integral representation, series expansion of analytic functions with respect to
Legendre polynomials. |
|
