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 ?
Denote by K the field of meromorphic functions in a finite number of (independent) variables from the set C = {y, .
In this paper by meromorphic functions we will always mean meromorphic functions in the complex plane.
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].
The topics include normal families and holomorphic motions over infinite dimensional parameter spaces, elementary moves and the modular group of the compact solenoid, holomorphic families of Riemann surfaces, hyperbolic components, barycenter entropy for rational maps, and the parameter plane of a family of meromorphic functions with two asymptotic values.
k] =0 in classes of meromorphic functions was investigated in [20].
Gross [7] and plays an important role in the literature of meromorphic functions that share sets instead of values.
summation over (p)]([alpha], [beta], q) The results of this paper is not only generalize the corresponding results due to Juneja and Reddy [1], Morga, Reddy and Juneja [2] but also give rise to analogous results for various subclasses of meromorphic functions.
Many procedures has been developed for control of time delay systems including LFT approaches using multiplicative uncertainty or internal model control (IMC) dealing with design in the ring of meromorphic functions [e.
We refer to Liu and Srivastava (2), Mogra (4), Raina and Srivastava (5) and Xu and Yang (8) for related work on the subject of meromorphic functions.
the ring of polynomials is now a non-commutative ring of twisted polynomials, defined over the differential field of meromorphic functions in system variables,
p]([gamma], a, c, [beta], [mu]) of p-valent meromorphic functions of the form f(z)= 1 / [z.