View source for Algebraic logarithmic singular point

An isolated singular point <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a011580/a0115801.png" /> of an analytic function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a011580/a0115802.png" /> such that in a neighbourhood of it the function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a011580/a0115803.png" /> may be represented as the sum of a finite number of terms of the form

<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a011580/a0115804.png" /></td> </tr></table>

where <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a011580/a0115805.png" /> is a complex number, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a011580/a0115806.png" /> is a non-negative integer, and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a011580/a0115807.png" /> is a regular analytic function at the point <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a011580/a0115808.png" /> with <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a011/a011580/a0115809.png" />.

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  L. Bieberbach,   "Analytische Fortsetzung" , Springer  (1955)  pp. Sect. 3</TD></TR></table>