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Miklós Schweitzer
1996 Miklós Schweitzer
7
7
Part of
1996 Miklós Schweitzer
Problems
(1)
analytic continuation
Source: miklos schweitzer 1996 q7
10/15/2021
Construct a holomorphic function
f
(
z
)
=
∑
n
=
0
∞
a
n
z
n
f(z) = \sum \limits_{n = 0} ^ \infty a_n z^n
f
(
z
)
=
n
=
0
∑
∞
a
n
z
n
( | z | <1 ) in the unit circle that can be analytically continued to all points of the unit circle except one point, and for which the sequence
{
a
n
}
\{a_n\}
{
a
n
}
has two limit points,
∞
\infty
∞
and a finite value.
complex analysis