Title: Meromorphic Function -- from Wolfram MathWorld
Open Graph Title: Meromorphic Function -- from Wolfram MathWorld
X Title: Meromorphic Function -- from Wolfram MathWorld
Description: A meromorphic function is a single-valued function that is analytic in all but possibly a discrete subset of its domain, and at those singularities it must go to infinity like a polynomial (i.e., these exceptional points must be poles and not essential singularities). A simpler definition states that a meromorphic function is a function f(z) of the form f(z)=(g(z))/(h(z)) where g(z) and h(z) are entire functions with h(z)!=0 (Krantz 1999, p. 64). A meromorphic function therefore may only...
Open Graph Description: A meromorphic function is a single-valued function that is analytic in all but possibly a discrete subset of its domain, and at those singularities it must go to infinity like a polynomial (i.e., these exceptional points must be poles and not essential singularities). A simpler definition states that a meromorphic function is a function f(z) of the form f(z)=(g(z))/(h(z)) where g(z) and h(z) are entire functions with h(z)!=0 (Krantz 1999, p. 64). A meromorphic function therefore may only...
X Description: A meromorphic function is a single-valued function that is analytic in all but possibly a discrete subset of its domain, and at those singularities it must go to infinity like a polynomial (i.e., these exceptional points must be poles and not essential singularities). A simpler definition states that a meromorphic function is a function f(z) of the form f(z)=(g(z))/(h(z)) where g(z) and h(z) are entire functions with h(z)!=0 (Krantz 1999, p. 64). A meromorphic function therefore may only...
Opengraph URL: https://mathworld.wolfram.com/MeromorphicFunction.html
Domain: mathworld.wolfram.com
| DC.Title | Meromorphic Function |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | A meromorphic function is a single-valued function that is analytic in all but possibly a discrete subset of its domain, and at those singularities it must go to infinity like a polynomial (i.e., these exceptional points must be poles and not essential singularities). A simpler definition states that a meromorphic function is a function f(z) of the form f(z)=(g(z))/(h(z)) where g(z) and h(z) are entire functions with h(z)!=0 (Krantz 1999, p. 64). A meromorphic function therefore may only... |
| DC.Date.Created | 2000-03-12 |
| DC.Subject | 30A |
| DC.Rights | Copyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement. |
| DC.Format | text/html |
| DC.Identifier | https://mathworld.wolfram.com/MeromorphicFunction.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2000-03-12 |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_MeromorphicFunction.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_MeromorphicFunction.png |
| None | ie=edge |
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