analytic function
31Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex …
32Pfaffian function — Not to be confused with Pfaffian. In mathematics, the Pfaffian functions are a certain class of functions introduced by Askold Georgevich Khovanskiǐ in the 1970s. They are named after German mathematician Johann Pfaff. Contents 1 Basic definition …
33Meijer G-Function — The G function was defined for the first time by the Dutch mathematician Cornelis Simon Meijer (1904 1974) in 1936 as an attempt to introduce a very general function that includes most of the known special functions as particular cases. This was… …
34Lacunary function — In analysis, a lacunary function, also known as a lacunary series, is an analytic function that cannot be analytically continued anywhere outside the circle of convergence within which it is defined by a power series. The word lacunary is derived …
35Dickman function — The Dickman–de Bruijn function ρ(u) plotted on a logarithmic scale. The horizontal axis is the argument u, and the vertical axis is the value of the function. The graph nearly makes a downward line on the logarithmic scale, demonstrating that the …
36Meijer G-function — In mathematics, the G function was introduced by Cornelis Simon Meijer (1936) as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized… …
37Algebraic function — In mathematics, an algebraic function is informally a function which satisfies a polynomial equation whose coefficients are themselves polynomials. For example, an algebraic function in one variable x is a solution y for an equation: a n(x)y^n+a… …
38Dickman-de Bruijn function — In analytic number theory, Dickman s function is a special function used to estimate the proportion of smooth numbers up to a given bound.Dickman s function is named after actuary Karl Dickman, who defined it in his only mathematical publication …
39Zeta function universality — In mathematics, the universality of zeta functions is the remarkable property of the Riemann zeta function and other, similar, functions, such as the Dirichlet L functions, to approximate arbitrary non vanishing holomorphic functions arbitrarily… …
40Univalent function — In mathematics, in the branch of complex analysis, a holomorphic function on an open subset of the complex plane is called univalent if it is one to one. ExamplesAny mapping phi a of the open unit disc to itself, :phi a(z) =frac{z a}{1 ar{a}z},… …
