CHAPTER VII

Abstrakty

EN

ENTIRE FUNCTIONS AND FUNCTIONS MEROMORPHIC IN THE ENTIRE OPEN PLANE
§ 1. Infinite products
§ 2. Weierstrass's theorem on the decomposition of entire functions into products
§ 3. Mittag-Leffler's theorem on the decomposition of meromorphic functions into simple fractions
§ 4. Cauchy's method of decomposing meromorphic functions into simple fractions
§ 5. Examples of expansions of entire and meromorphic functions
§ 6. Order of an entire function
§ 7. Dependence of the order of an entire function on the coefficients of its Taylor series expansion
§ 8. The exponent of convergence of the roots of an entire function
§ 9. Canonical product
§ 10. Hadamard's theorem
§ 11. Borel's theorem on the roots of entire functions
§ 12. The small theorem of Picard
§ 13. Schottky's theorem. Montel's theorem. Picard's great theorem
§ 14. Landau's theorem

Twórcy

• Książka: Analytic functions
• Kolekcja: DML-PL