Prof. Edmund Y. M. Chiang (蔣翼邁) (machiang@ust.hk ) (Tel: 2358-7441),  L1 (Tue., Thu. 12:30 -- 13:20, lecture room 1504 (lifts 25/26)

Office hours: every Monday: 16:30 -- 18:30.

Textbook: N. N. Lebedev ``Special Functions & Their Applications", Translated by R. A. Silverman,  Dover Pulb. N. Y. 1972.

Notes

Tentative content:

1. Infinite products
2. Gamma function;
3. Hypergeometric functions
4. Confluent Hypergeometric function;
5. Bessel Functions
6. Orthogonal polynomials;
7. Legendre polynomials;
8. Laguerre polynomials;
9. Hermite polynomials;
10. Elliptic functions

Distribution of Marks:  Regular homework (20%) + Project presentation (20%) + final examination (60%).

Final Examination: All topics are included.

Other references:

1. E. D. Rainville, "Special Functions", Chelsea Pulb. Comp., N. Y., 1960
2. G. Andrews, R. Askey & R. Roy, "Special Functions", Camb. Univ. Press, 1999
3. Lars Ahlfors "Complex Analysis", McGraw-Hill; 3 edition, 1979  (It contains a chapter on hypergeometric functions)

Mathematical writings:

1.  Donald E. Knuth

Special function handbook: Abramowitz and Stegun: Handbook of Mathematics Functions

Askey-Bateman manuscript project, Askey-Scheme (Koekoek and Swarttouw)