A. E. Taylor, A Theorem Concerning Analytic Continuation for Functions of Several Complex Variables, Annals of Mathematics, Vol. 40, No. 4 (Oct., 1939), pp. 855-861 ...

Analytic functions constitute a cornerstone of complex analysis, being defined on regions where they can be expressed as convergent power series. Of particular interest are starlike functions ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

Kurt Friedrichs, On Certain Inequalities and Characteristic Value Problems for Analytic Functions and For Functions of Two Variables, Transactions of the American Mathematical Society, Vol. 41, No. 3 ...

The problem of Taylor's series is therefore to deduce from a knowledge of the coefficients the behaviour of the function. The Taylor Series: an Introduction to the Theory of Functions of a Complex ...