Algebraic logarithmic singular point

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An isolated singular point of an analytic function such that in a neighbourhood of it the function may be represented as the sum of a finite number of terms of the form

where is a complex number, is a non-negative integer, and is a regular analytic function at the point with .


[1] L. Bieberbach, "Analytische Fortsetzung" , Springer (1955) pp. Sect. 3
How to Cite This Entry:
Algebraic logarithmic singular point. E.D. Solomentsev (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098