On Tangential Principal Cluster Sets of Normal Meromorphic Functions
1970 ◽
Vol 40
◽
pp. 133-137
◽
Keyword(s):
Let w = f(z) be a normal meromorphic function defined in the upper half plane U = {Im(z) >0}. We recall that a meromorphic function f(z) is normal in U if the family {f(S(z))}, where z′ = S(z) is an arbitrary one-one conformal mapping of U onto U, is normal in the sense of Montel. It is the purpose of this paper to state some results on the behavior of f(z) on curves which approach a point x0 on the real axis R with a fixed (finite) order of contact q at x0.
2020 ◽
Vol 30
(3)
◽
pp. 396-409
Keyword(s):
Keyword(s):