最終更新日:2022/12/24
Normal families of meromorphic functions are most naturally studied using the spherical metric (§1.2), an approach initiated by Ostrowski [1926]. Some results for meromorphic functions, such as the FNT, are immediate extensions from the analytic case, whereas others, such as Landau's or Julia's theorem are set in a much broader context than their analytic counterparts. Normality criteria pertinent to families of meromorphic functions, such as Marty's theorem, have not yet been encountered.
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元となった例文
Normal
families
of
meromorphic
functions
are
most
naturally
studied
using
the
spherical
metric
(§1.2),
an
approach
initiated
by
Ostrowski
[1926].
Some
results
for
meromorphic
functions,
such
as
the
FNT,
are
immediate
extensions
from
the
analytic
case,
whereas
others,
such
as
Landau's
or
Julia's
theorem
are
set
in
a
much
broader
context
than
their
analytic
counterparts.
Normality
criteria
pertinent
to
families
of
meromorphic
functions,
such
as
Marty's
theorem,
have
not
yet
been
encountered.