https://companal.subwiki.org/w/index.php?action=history&feed=atom&title=Meromorphic_functionMeromorphic function - Revision history2026-04-04T21:32:45ZRevision history for this page on the wikiMediaWiki 1.41.2https://companal.subwiki.org/w/index.php?title=Meromorphic_function&diff=320&oldid=prevVipul: 2 revisions2008-05-18T19:16:31Z<p>2 revisions</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<tr class="diff-title" lang="en">
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 19:16, 18 May 2008</td>
</tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div>
</td></tr></table>Vipulhttps://companal.subwiki.org/w/index.php?title=Meromorphic_function&diff=319&oldid=prevVipul: /* Definition */2008-04-20T23:18:49Z<p><span dir="auto"><span class="autocomment">Definition</span></span></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:18, 20 April 2008</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td>
<td colspan="2" class="diff-lineno">Line 3:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===On an open subset of complex numbers===</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>===On an open subset of complex numbers===</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Suppose <math>U</math> is an open subset of <math>\mathbb{C}</math>. A '''meromorphic function''' on <math>U</math> is defined <del style="font-weight: bold; text-decoration: none;">to be a </del>[[holomorphic function]] on <math>U \setminus D</math>, where <math>D</math> is a discrete subset of <math>U</math>, such that all points of <math>D</math> are [[pole]]s for the function<del style="font-weight: bold; text-decoration: none;">.</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Suppose <math>U</math> is an open subset of <math>\mathbb{C}</math>. A '''meromorphic function''' on <math>U</math> is defined <ins style="font-weight: bold; text-decoration: none;">in the following equivalent ways:</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* A </ins>[[holomorphic function]] on <math>U \setminus D</math>, where <math>D</math> is a discrete subset of <math>U</math>, such that all points of <math>D</math> are [[pole]]s for the function</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* A [[holomorphic map]] from <math>U</math> to the [[Riemann sphere]], that is not the constant map to <math>\infty</math></ins></div></td></tr>
</table>Vipulhttps://companal.subwiki.org/w/index.php?title=Meromorphic_function&diff=318&oldid=prevVipul: New page: ==Definition== ===On an open subset of complex numbers=== Suppose <math>U</math> is an open subset of <math>\mathbb{C}</math>. A '''meromorphic function''' on <math>U</math> is defined t...2008-04-19T14:48:27Z<p>New page: ==Definition== ===On an open subset of complex numbers=== Suppose <math>U</math> is an open subset of <math>\mathbb{C}</math>. A '''meromorphic function''' on <math>U</math> is defined t...</p>
<p><b>New page</b></p><div>==Definition==<br />
<br />
===On an open subset of complex numbers===<br />
<br />
Suppose <math>U</math> is an open subset of <math>\mathbb{C}</math>. A '''meromorphic function''' on <math>U</math> is defined to be a [[holomorphic function]] on <math>U \setminus D</math>, where <math>D</math> is a discrete subset of <math>U</math>, such that all points of <math>D</math> are [[pole]]s for the function.</div>Vipul