Lectures on the theory of functions of a complex variable /
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| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Groningen :
P. Noordhoff,
1960-1969.
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Tabla de Contenidos:
- Contenido del v. 1, Holomorphic functions: 1. Holomorphic functions. Power series as holomorphic functions. Elementary functions
- 2. Cauchy's integral theorem and its corollaries. Expansion in Taylor series
- 3. Regular and singular points. Residues. Zeros
- 4. Weierstrass's factorization of integral functions. Cauchy's expansion in partial fractions. Mittag-Leffler's problem
- 5. Elliptic functions
- 6. Integral functions of finite order
- 7. Dirichlet series. The zeta function of Riemann. The Laplace integral
- 8. Summability of power series outside the circle of convergence. Sum formulas. Asymptotic series.