special function
71Particular values of the Gamma function — The Gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer and half integer arguments, but no simple expressions are known for the values at rational points in… …
72Beta function — This article is about Euler beta function. For other uses, see Beta function (disambiguation). In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for The beta function was studied …
73Theta function — heta 1 with u = i pi z and with nome q = e^{i pi au}= 0.1 e^{0.1 i pi}. Conventions are (mathematica): heta 1(u;q) = 2 q^{1/4} sum {n=0}^infty ( 1)^n q^{n(n+1)} sin((2n+1)u) this is: heta 1(u;q) = sum {n= infty}^{n=infty} ( 1)^{n 1/2}… …
74Cunningham function — In statistics, the Cunningham function or Pearson–Cunningham function ωm,n(x) is a generalisation of a special function introduced by Pearson (1906) and studied in the form here by Cunningham (1908). It can be defined in terms of the confluent… …
75Elementary function — This article discusses the concept of elementary functions in differential algebra. For simple functions see the list of mathematical functions. For the concept of elementary form of an atom see oxidation state. In mathematics, an elementary… …
76Dickman 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 …
77Legendre chi function — In mathematics, the Legendre chi function is a special function whose Taylor series is also a Dirichlet series, given by:chi u(z) = sum {k=0}^infty frac{z^{2k+1{(2k+1)^ u}.As such, it resembles the Dirichlet series for the polylogarithm, and,… …
78Analytic function — This article is about both real and complex analytic functions. The article holomorphic function is solely about analytic functions in complex analysis. An analytic signal is a signal with no negative frequency components. In mathematics, an… …
79Continuous function (topology) — In topology and related areas of mathematics a continuous function is a morphism between topological spaces. Intuitively, this is a function f where a set of points near f(x) always contain the image of a set of points near x . For a general… …
80Transcendental 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 …
