Analytic functions

function of an angle

mathematical function related with trigonometric functions

mathematical function with a constant base and a variable exponent, denoted exp_a(x) or a^x

complex functions differentiable everywhere on their domains

function that is locally given by a convergent power series

sigmoid shape special function which occurs in probability, statistics and partial differential equations

function that can be defined as the root of a polynomial equation

analytic function that does not satisfy a polynomial equation

special function defined by an integral

in complex analysis, an extension of the domain of an analytic function

complex-valued function that is holomorphic at all finite points over the whole complex plane

the theorem that complex contour integrals are simply the sums of residues of singularities contained within the contour

theorem in complex analysis that nonconstant entire functions are unbounded

special functions of several complex variables

mathematical concept

pole of order zero; a point at which a holomorphic function is undefined, but it is possible to redefine the function at that point in such a way that the resulting function is regular in a neighbourhood of that point

logarithm of a complex number

entire function depending on two complex parameters α and β

mathematical concept

mathematical function

theorem

mathematical concept

complex complementary error function

smooth map that is a critical point of the Dirichlet energy functional

extension of the factorial function different from the gamma function

analytic function in mathematics

mathematical functions related to Weierstrass's elliptic function

Branch of functional analysis