Lectures on the theory of functions of a complex variable : I holomorphic functions
Sansone, Giovanni
Lectures on the theory of functions of a complex variable : I holomorphic functions - 1ra - New York : 1960 - 481 páginas
1.Holomorphic functions. Power series as holomorphic functions. Elementary functions. 2.Cauchy’s integral theorem and its corol ladies expansion in Taylor series. 3.Regular and singular point-residues zeros. 4.Weierstrass’s factorization of integral functions. Cauchy’s expansion in partial fraction. 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.
fcnm566
515.88I/S21
Lectures on the theory of functions of a complex variable : I holomorphic functions - 1ra - New York : 1960 - 481 páginas
1.Holomorphic functions. Power series as holomorphic functions. Elementary functions. 2.Cauchy’s integral theorem and its corol ladies expansion in Taylor series. 3.Regular and singular point-residues zeros. 4.Weierstrass’s factorization of integral functions. Cauchy’s expansion in partial fraction. 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.
fcnm566
515.88I/S21