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Meromorphic Function
(redirected from Meromorphic functions)

   Also found in: Wikipedia 0.01 sec.
meromorphic function [¦mer·ə¦mȯr·fik ′fəŋk·shən]
(mathematics)
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).



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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.
10) Here we deviate from the usual convention q<1, because we want to work with meromorphic functions of several variables.
the ring of polynomials is now a non-commutative ring of twisted polynomials, defined over the differential field of meromorphic functions in system variables, 2.
 
 
 
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