Transcendental branch point
of an analytic function
or a logarithmic branch point of infinite order. For example, the first possibility is realized at the transcendental branch point for the function , the second for the function .
In the first case the function can be expanded in a neighbourhood of in the form of a Puiseux series
with an infinite number of non-zero coefficients with negative indices.
|||A.I. Markushevich, "Theory of functions of a complex variable" , 2 , Chelsea (1977) (Translated from Russian)|
Transcendental branch point. E.D. Solomentsev (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Transcendental_branch_point&oldid=12387