Category:Complex analysis
From Wikipedia, the free encyclopedia
Complex analysis is the branch of mathematics investigating holomorphic functions, i.e. functions which are defined in some region of the complex plane, take complex values, and are differentiable as complex functions. Complex differentiability has much stronger consequences than usual (real) differentiability. For instance, every holomorphic function is representable as power series in every open disc in its domain of definition, and is therefore analytic. In particular, holomorphic functions are infinitely differentiable, a fact that is far from true for real differentiable functions. Most elementary functions, such as all polynomials, the exponential function, and the trigonometric functions, are holomorphic. See also : holomorphic sheaves and vector bundles.
Subcategories
There are 8 subcategories to this category shown below (more may be shown on subsequent pages).
AC |
HM |
RS |
Pages in category "Complex analysis"
There are 124 pages in this section of this category.
