Course Description

Mathematics 417b Complex Variables III

Entire and meromorphic functions, infinite products, canonical products, the Weierstrass factorization and Mittag-Leffler theorems, the Hadamard factorization theorem; simply periodic and doubly periodic functions, elliptic functions; the Picard theorems (with Schottky's, Montel's, and Landau's theorems); the prime number theorem (with the Gamma and Riemann Zeta functions).

Prerequisite: Mathematics 416a or Mathematics 307b with the permission of the Department.

3 lecture hours, half course.

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