Some remarks on holomorphic functions and taylor series in C

Some previous results on convergence of Taylor series in Cⁿ [3] are improved by indicating outside the domain of convergence the points where the series diverges and simplifying some proofs. These results contain the Cauchy—Hadamard theorem in C. Some Cauchy integral formulas of a holomorphic function on a closed ball in Cⁿ are constructed and the Taylor series expansion is deduced.