The adjective is the word that accompanies the noun to determine or qualify it.
WHAT DOES MEROMORPHIC MEAN IN ENGLISH?
In the mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all Dexcept a set of isolated points (the poles of the function), at each of which the function must have a Laurent series. (The terminology comes from the Ancient Greek meros (μέρος), meaning part, as opposed to holos (ὅλος), meaning whole.) Every meromorphic function on D can be expressed as the ratio between two holomorphic functions (with the denominator not constant 0) defined on D: any pole must coincide with a zero of the denominator. The Gamma function is meromorphic in the whole complex plane. Intuitively then, a meromorphic function is a ratio of two well-behaved (holomorphic) functions. Such a function will still be well-behaved, except possibly at the points where the denominator of the fraction is zero. (If the denominator has a zero at z and the numerator does not, then the value of the function will be infinite; if both parts have a zero at z, then one must compare the multiplicities of these zeros.
The translations of meromorphic from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «meromorphic» in English.
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «meromorphic».
FREQUENCY OF USE OF THE TERM «MEROMORPHIC» OVER TIME
The graph expresses the annual evolution of the frequency of use of the word «meromorphic» during the past 500 years. Its implementation is based on analysing how often the term «meromorphic» appears in digitalised printed sources in English between the year 1500 and the present day.
Examples of use in the English literature, quotes and news about meromorphic
10 ENGLISH BOOKS RELATING TO «MEROMORPHIC»
Discover the use of meromorphic in the following bibliographical selection. Books relating to meromorphic and brief extracts from same to provide context of its use in English literature.
Entire and Meromorphic Functions
This book is an introduction to the theory of entire and meromorphic functions, with a heavy emphasis on Nevanlinna theory, otherwise known as value-distribution theory.
Lee A. Rubel, 1996
Uniqueness Theory of Meromorphic Functions
This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses.
Chung-Chun Yang, Hong-Xun Yi, 2004
Theory of Entire and Meromorphic Functions: Deficient and ...
This book was originally written in Chinese in 1986 by the noted complex analyst Zhang Guan-Hou, who was a research fellow at the Academia Sinica.
Guan-hou Zhang, 1993
Unicity of Meromorphic Mappings
Then in the 19708, F. Gross and C. C. Yang started to study the similar but more general questions of two functions that share sets of values.
Pei-Chu Hu, Ping Li, Chung-Chun Yang, 2003
Meromorphic Functions over non-Archimedean Fields
In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications.
Pei-Chu Hu, Chung-Chun Yang, 2000
Value Distribution of Meromorphic Functions
This book focuses on meromorphic functions in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the Nevanlinna conjecture.
Jianhua Zheng, 2011
Meromorphic Functions and Projective Curves
This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface.
Kichoon Yang, 1999
Fix-points and Factorization of Meromorphic Functions
Essentially a translation of the authors' Chinese mathematical monograph which was published by Peking U. Press in 1988.
Formal Power Series and Linear Systems of Meromorphic ...
In this book the author presents the classical theory of meromorphic systems of Ordinary Differential Equations in the new light of recent achievements in the theory of summability of formal power series.
Werner Balser, 2000
Complex Analysis I: Entire and Meromorphic Functions. ...
This book contains a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behavour, value distributions, degeneration, uniqueness etc.).
A.A. Gonchar, Viktor P. Havin, N.K. Nikolski, 2010
3 NEWS ITEMS WHICH INCLUDE THE TERM «MEROMORPHIC»
Find out what the national and international press are talking about and how the term meromorphic is used in the context of the following news items.
Later he completed his Ph.D. (“Generalised multiplicative meromorphic functions on a complex manifold”) at the famous Hall of the Tata ... «The Hindu, Mar 14»
Who Was Nevanlinna, and What Is His Prize?
Nevanlinna studied meromorphic functions. The simplest definition of meromorphic functions is functions that can be written as the ratio of two ... «Scientific American, Sep 13»
On the walls hang black-and-white photographs of two of his mentors: Sir Edward Collingwood, an expert in meromorphic function and the ... «Sports On Earth, Jul 13»
« EDUCALINGO. Meromorphic [online]. Available <https://educalingo.com/en/dic-en/meromorphic>. Sep 2020 ».