Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical...

functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions...

mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of...

A Special Function Register (or Special Purpose Register, or simply Special Register) is a register within a microprocessor, which controls or monitors...

In the C++ programming language, special member functions are functions which the compiler will automatically generate if they are used, but not declared...

e^{x\ln b}} As functions of a real variable, exponential functions are uniquely characterized by the fact that the derivative of such a function is directly...

wide variety of sigmoid functions including the logistic and hyperbolic tangent functions have been used as the activation function of artificial neurons...

Complex function Function (mathematics) Generalized function List of special functions and eponyms List of types of functions Rational function Special functions...

trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric...

This is a list of special function eponyms in mathematics, to cover the theory of special functions, the differential equations they satisfy, named differential...

fewer functions than untyped lambda calculus. List of types of functions List of functions Function fitting Implicit function Higher-order function Homomorphism...

related functions. NIST Digital Library of Mathematical Functions:Gamma function Pascal Sebah and Xavier Gourdon. Introduction to the Gamma Function. In PostScript...

to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of α {\displaystyle \alpha...

hypergeometric function of the second kind. Whittaker functions (for Edmund Taylor Whittaker) are solutions to Whittaker's equation. Coulomb wave functions are solutions...

W function, and the logit. They are the inverse functions of the double exponential function, tetration, of f(w) = wew, and of the logistic function, respectively...

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...

related functions called Jacobi theta functions, and many different and incompatible systems of notation for them. One Jacobi theta function (named after...

hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific...

This article contains special characters. Without proper rendering support, you may see question marks, boxes, or other symbols. ISO 31-11:1992 was the...

mathematics, the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for...

In mathematics, the study of special values of L-functions is a subfield of number theory devoted to generalising formulae such as the Leibniz formula...

Friedrich Gauss had already studied special Jacobi elliptic functions in 1797, the lemniscate elliptic functions in particular, but his work was published...

that Y falls in the range [−x, x]. Two closely related functions are the complementary error function (erfc) defined as erfc ⁡ z = 1 − erf ⁡ z , {\displaystyle...

Ei is a special function on the complex plane. It is defined as one particular definite integral of the ratio between an exponential function and its...

Floor and ceiling functions In mathematics, the floor function (or greatest integer function) is the function that takes as input a real number x, and...

In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems...

and then reaching a maximal limit. A logistic function, or related functions (e.g. the Gompertz function) are usually used in a descriptive or phenomenological...

below, the Airy functions can be extended to the complex plane, giving entire functions. The asymptotic behaviour of the Airy functions as |z| goes to...

Rules for computing derivatives of functions Incomplete gamma function – Types of special mathematical functions Indefinite sum – the inverse of a finite...

functions and eponyms List of types of functions Polynomial Rational function Special functions Transcendental function Ahlfors, Lars (1979). Complex Analysis...