Holomorphic

Some articles on holomorphic:

Canonical Connection
... In mathematics, a canonical connection of a holomorphic vector bundle with a Hermitian structure, is the unique metric connection D, such that the part which increases ...
Motor Variable - D-holomorphic Functions
... The function f is called D-holomorphic when 0 = (∂/∂x − j ∂/∂y) ( u + j v) = ux − j2 vy + j (vx − uy ) ... is apparent that the components u and v of a D-holomorphic function f satisfy the wave equation, associated with D'Alembert, whereas components of C-holomorphic functions satisfy Laplace's equation ...
List Of Types Of Functions - Relative To The Real/complex Numbers
... Holomorphic function Complex valued function of a complex variable which is differentiable at every point in its domain ... Meromorphic function Complex valued function that is holomorphic everywhere, apart from at isolated points where there are poles ... Entire function A holomorphic function whose domain is the entire complex plane ...
Antiderivative (complex Analysis) - Existence
... anti-derivatives can fail to exist even for holomorphic functions of a complex variable ... For example, consider the reciprocal function, which is holomorphic on the punctured plane C\{0} ... having an antiderivative locally, that is, g is holomorphic if for every z in its domain, there is some neighborhood U of z such that g has an antiderivative on U ...
Topological String Theory - Dualities - Dualities Between TSTs - The Holomorphic Anomaly
... This is because the B-model suffers from a holomorphic anomaly, which states that the dependence on complex quantities, while classically holomorphic, receives ...