meromorphic

Adjective

Meaning

meromorphic (not comparable)

(complex analysis, of a function) That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points).

Related terms

Examples

Consider the resolvent function : which is a meromorphic function on the complex plane with values in the vector space of matrices. Source: Internet

As a second application of this work, he was able to show meromorphic continuation for a large class of L -functions arising in the theory of automorphic forms, not previously known to have them. Source: Internet

Complex analysis is particularly concerned with analytic functions of complex variables (or, more generally, meromorphic functions ). Source: Internet

Dimensional regularization is a method for regularizing integrals in the evaluation of Feynman diagrams; it assigns values to them that are meromorphic functions of an auxiliary complex parameter d, called the dimension. Source: Internet

Given a Riemann surface M, the set of all meromorphic functions defined on M is a field, denoted by C(M). Source: Internet

Namely, the function f extends into a meromorphic function : on the compactified complex plane. Source: Internet

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