Meromorphic Function

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meromorphic function

[¦mer·ə¦mȯr·fik ′fəŋk·shən]
A function of complex variables which is analytic in its domain of definition save at a finite number of points which are poles.

Meromorphic Function


a function that can be represented in the form of a quotient of two entire functions, that is, the quotient of the sums of two everywhere convergent power series. Meromorphic functions include many important functions and classes of functions (rational functions, trigonometric functions, elliptic functions, the gamma function, the zeta function).

References in periodicals archive ?
Hayman, Meromorphic Functions, Clarendon Press, Oxford, UK, 1964.
In this paper, we investigate some properties of subclasses of multivalent meromorphic functions which are defined by the linear operator [mathematical expression not reproducible].
The Weyl solution and Weyl function are meromorphic functions having simple poles at points [[lambda].sub.n] eigenvalues of problem (1.1), (1.2).
which are two asymptotically periodic meromorphic functions along the real axis.
Removable singularities of analytic and meromorphic functions of several complex variables.
Nevanlinna, also called Nevanlinna theory, is a very useful tool for studying both the growth of meromorphic functions in the complex plane C and meromorphic solutions of differential equations, see for instance the Clunie lemma (cf.
On dependence of meromorphic functions Manabu SHIROSAKI sharing some finite sets IM Communicated by Masaki KASHIWARA, M.J.A.
The 24 papers here consider such topics as characterizing holomorphic and meromorphic functions using maximum principles, generalizing trigonometric functions from different points of view, amenability as a hereditary property in some algebras of vector-valued functions, weighted composition operators on weighted sequence spaces, and the essential norm of operators on the Bergman space of vector-valued functions on the unit ball.
In this paper, the concept of bi-univalency is extended to the class of meromorphic functions defined on
The value distribution theory of meromorphic functions occupies one of the central places in complex analysis which now have been applied to complex dynamics, complex differential and functional equations, Diophantine equations, and others.
Makinde, On a certain family of meromorphic functions with positive coefficients, Acta Univasitatis Appulensis (submitted).
Thus the function s [member of] M(s, c, [LAMBDA])([xi]) is a function of s [member of] V/[LAMBDA] (a periodic function of s) whose values are meromorphic functions of [xi].