Nevanlinna proved that a non-constant meromorphic function
is uniquely determined by the inverse image of 5 distinct values (including the infinity) IM.
Denote by [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] the set of poles of the meromorphic function
F([alpha]) and by p([zeta]) the order of the pole [zeta] for [zeta] [member of] P.
For any nonconstant meromorphic function
h(z)wedenoteby S(r, h) any quantity satisfying
Control of delay systems--A meromorphic function
On starlikeness and close to convexity of certain meromorphic function
If [member of] is a meromorphic function
, having [gamma] as a pole, we denote by [[G([lambda])].
nn]} converges to a meromorphic function
in capacity, which means away from exceptional sets that may vary from one value of n to the next and whose capacities decrease exponentially to 0 as n [right arrow] [infinity] [1, 18, 20, 25].
Among the poles of the meromorphic function
Z(s) are the roots p of the Riemann zeta function in the critical strip 0 < [sigma]< 1, which is clear from Eq.
Kulkarni, Subclasses of meromorphic function
defined by Ruscheweyh derivative for positive coefficients, Acta Cienc.
s](n) can be continued to the whole complex plane as a meromorphic function
with simple poles 1, 1/2; -1/2, -3/2, -5/2, .
DELTA]] are used to denote the delta derivative of the meromorphic function
F depending on real indeterminates from C.
a](z) to a meromorphic function
and the determination of its poles.