Let be integers and suppose that there exists a such that for , 2, .... Suppose that for some sequence of complex numbers the power series
has radius of convergence 1, then no point of is a regular point for (Krantz 1999, p. 120).
Let be integers and suppose that there exists a such that for , 2, .... Suppose that for some sequence of complex numbers the power series
has radius of convergence 1, then no point of is a regular point for (Krantz 1999, p. 120).
Weisstein, Eric W. "Ostrowski-Hadamard Gap Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Ostrowski-HadamardGapTheorem.html