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...

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

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...

A special function register (SFR) is a register within a microcontroller that controls or monitors various aspects of the microcontroller's function. Depending...

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

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

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...

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

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

In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces...

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

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

differential operators. Special functions of mathematical physics, such as the trigonometric functions, the hypergeometric function and its generalizations...

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

distinguishing it from some other functions that are also commonly called exponential functions. These functions include the functions of the form ⁠ f ( x ) = b...

In the physical sciences, the Airy function (or Airy function of the first kind) Ai(x) is a special function named after the British astronomer George...

domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends...

In mathematics, Ferrers functions are certain special functions defined in terms of hypergeometric functions. They are named after Norman Macleod Ferrers...

Integral Transforms and Special Functions is a monthly peer-reviewed scientific journal, specialised in topics of mathematical analysis, the theory of...

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

In mathematics and the field of transportation theory, the transport functions J(n,x) are defined by J ( n , x ) = ∫ 0 x t n e t ( e t − 1 ) 2 d t . {\displaystyle...

W {\displaystyle W} ⁠ function from a result of Rosenlicht and of Liouville" (PDF). Integral Transforms and Special Functions. 19 (10): 709–712. doi:10...

nonzero integer k. The functions xk(t) = sinc(t − k) (k integer) form an orthonormal basis for bandlimited functions in the function space L2(R), with highest...

algebraic function. Examples of transcendental functions include the exponential function, the logarithm function, the hyperbolic functions, and the trigonometric...

which in turn have many particular special functions as special cases, such as elementary functions, Bessel functions, and the classical orthogonal polynomials...

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

(rep operator), respectively. The rectangular function is a special case of the more general boxcar function: rect ⁡ ( t − X Y ) = H ( t − ( X − Y / 2 )...

Minister with Special Functions 1973 1976 Michael Chen Wing Sum (1932-2024) MP for Ulu Selangor BN (MCA) Minister with Special Functions 1973 1974 Khir...

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...