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

theory of special functions which developed out of statistics and mathematical physics. A modern, abstract point of view contrasts large function spaces...

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

the Gamma Function may be used. One author describes the gamma function as "Arguably, the most common special function, or the least 'special' of them...

"sigmoid function" is used as an alias for the logistic function. Special cases of the sigmoid function include the Gompertz curve (used in modeling systems...

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

In mathematics, the error function (also called the Gauss error function), often denoted by erf, is a function defined as: erf ⁡ z = 2 π ∫ 0 z e − t 2...

In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It is relevant in problems of physics and has number...

the sinc function, denoted by sinc(x), has two forms, normalized and unnormalized. In mathematics, the historical unnormalized sinc function is defined...

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

the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial...

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 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...

The exponential function is a mathematical function denoted by f ( x ) = exp ⁡ ( x ) {\displaystyle f(x)=\exp(x)} or e x {\displaystyle e^{x}} (where...

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...

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

In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse...

A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac...

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...

Functions of mathematical physics, Van Nostrand Reinhold Company, London, 1970. Chapter 9 deals with Bessel functions. N. M. Temme, Special Functions...