# meromorphic

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## meromorphic

(ˌmɛrəʊˈmɔːfɪk)
(Mathematics) designating or relating to a function that is analytic in a given domain except for a number of isolated singularities or poles
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
Translations
méromorphe
References in periodicals archive ?
By construction [S.sub.r](s) is a meromorphic function in s [member of] C and when r [greater than or equal to] 2 it has the following expression
Each element of [??] is the image of a meromorphic function under the map [e.sub.[SIGMA]].
We say that a meromorphic function [zeta] belongs to the class W if [zeta] is an elliptic function, or a rational function of z, or a rational function of [e.sup.[mu]z], [mu] [member of] C.
In this paper, a meromorphic function means a function that is meromorphic in the whole complex plane C.
Due to the complication to study the distribution of public zero of two L-functions, researchers take up study of the relationship of an L-function and a meromorphic function. Since L-function itself can be analytically continued as a meromorphic function in the whole complex plane, therefore, L-functions will be taken as special meromorphic functions, with the help of Nevanlinna's value distribution theory, in order to study the uniqueness of L-functions.
Key words and phrases : Meromorphic function, Concave function, Starlike function, Dirichlet finite integral, Integral mean.
Notation of the pole point is connected with meromorphic function
A meromorphic function w(z) means that w(z) is holomorphic in the complex plane C except for poles.
Observe that [[zeta].sub.E,q](s) is a meromorphic function on C.
Let f be a transcendental meromorphic function in C, all of whose zeros have multiplicity at least 3.
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.
Numerical results, including reconstruction of a meromorphic function and the induced current density in discontinuous material distributions, are shown in Section 3.
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