identity theorem of holomorphic functions
If the functions and are holomorphic in a domain of the complex plane and the equation
(1) |
is true in an infinite subset of having an accumulation point in , then (1) is true in the whole .
Remark. The subset may be e.g. some neighbourhood of or some arc containing .
Title | identity theorem of holomorphic functions |
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Canonical name | IdentityTheoremOfHolomorphicFunctions |
Date of creation | 2013-03-22 16:47:05 |
Last modified on | 2013-03-22 16:47:05 |
Owner | rspuzio (6075) |
Last modified by | rspuzio (6075) |
Numerical id | 11 |
Author | rspuzio (6075) |
Entry type | Theorem |
Classification | msc 30A99 |
Synonym | rigidity theorem for analytic functions |
Related topic | IdentityTheoremOfPowerSeries |
Related topic | IdentityTheorem |