analytic function
41Transcendental function — A transcendental function is a function that does not satisfy a polynomial equation whose coefficients are themselves polynomials, in contrast to an algebraic function, which does satisfy such an equation. In other words a transcendental function …
42Cubic function — This article is about cubic equations in one variable. For cubic equations in two variables, see elliptic curve. Graph of a cubic function with 3 real roots (where the curve crosses the horizontal axis where y = 0). It has 2 critical points. Here …
43Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …
44Doubly periodic function — In mathematics, a doubly periodic function is a function defined at all points on the complex plane and having two periods , which are complex numbers u and v that are linearly independent as vectors over the field of real numbers. That u and v… …
45Riemann-Siegel theta function — In mathematics, the Riemann Siegel theta function is defined in terms of the Gamma function as: heta(t) = arg left(Gammaleft(frac{2it+1}{4} ight) ight) frac{log pi}{2} tfor real values of t. Here the argument is chosen in such a way that a… …
46Characterizations of the exponential function — In mathematics, the exponential function can be characterized in many ways. The following characterizations (definitions) are most common. This article discusses why each characterization makes sense, and why the characterizations are independent …
47Matrix function — In mathematics, a matrix function is a function which maps a matrix to another matrix. Contents 1 Extending scalar functions to matrix functions 1.1 Power series 1.2 Jordan decomposition …
48Geometric function theory — is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem …
49Dedekind zeta function — In mathematics, the Dedekind zeta function of an algebraic number field K, generally denoted ζK(s), is a generalization of the Riemann zeta function which is obtained by specializing to the case where K is the rational numbers Q. In particular,… …
50Algebraic geometry and analytic geometry — In mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds and the more general analytic spaces defined locally… …
