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1. Hypergeometric function: In mathematics, the Gaussian or ordinary hypergeometric function 2F1(a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting cases. It is a solution of a second ... (Special function defined by a hypergeometric series) [100%] 2023-12-28 [Factorial and binomial topics] [Hypergeometric functions]...
2. Hypergeometric function: A solution of a hypergeometric equation $$ \tag{1 } z ( 1 - z) w ^ {\prime\prime} + [ \gamma - ( \alpha + \beta + 1) z] w ^ \prime - \alpha \beta w = 0. $$ A hypergeometric function can be defined with the aid of the so-called Gauss series ... (Mathematics) [100%] 2023-12-28
3. General hypergeometric function: In mathematics, a general hypergeometric function or Aomoto–Gelfand hypergeometric function is a generalization of the hypergeometric function that was introduced by Gelfand (1986). The general hypergeometric function is a function that is (more or less) defined on a Grassmannian ... (Hypergeometric function in mathematics) [81%] 2023-12-28 [Hypergeometric functions]
4. Confluent hypergeometric function: Kummer function, Pochhammer function A solution of the confluent hypergeometric equation $$ \tag{1 } zw ^ {\prime\prime} + ( \gamma - z) w ^ \prime - \alpha w = 0. $$ The function may be defined using the so-called Kummer series $$ \tag{2 } \Phi ( \alpha ; \gamma ; z ... (Mathematics) [81%] 2023-10-22
5. General hypergeometric function: In mathematics, a general hypergeometric function or Aomoto–Gelfand hypergeometric function is a generalization of the hypergeometric function that was introduced by (Gelfand 1986). The general hypergeometric function is a function that is (more or less) defined on a Grassmannian ... (Hypergeometric function in mathematics) [81%] 2023-09-14 [Hypergeometric functions]
6. Hypergeometric distribution: The probability distribution defined by the formula $$ \tag{* } p _ {m} = \ \frac{\left ( \begin{array}{c} M \\ m \end{array} \right ) \left ( \begin{array}{c} N- M \\ n- m \end{array} \right ) }{\left ( \begin{array}{c} N \\ n \end{array ... (Mathematics) [62%] 2023-12-28
7. Hypergeometric series: Gauss series A series of the form $$ F ( \alpha , \beta ; \gamma ; z) = $$ $$ = \ 1 + \sum _ {n = 1 } ^ \infty \frac{\alpha \dots ( \alpha + n - 1) \beta \dots ( \beta + n - 1) }{n! \gamma \dots ( \gamma + n - 1) } z ^ {n}. (Mathematics) [62%] 2023-10-25
8. Hypergeometric equation: Gauss equation An ordinary second-order linear differential equation $$ \tag{1 } z ( z - 1) w ^ {\prime\prime} + [( \alpha + \beta + 1) z - \gamma ] w ^ \prime + \alpha \beta w = 0, $$ $$ \alpha , \beta , \gamma = \textrm{ const }, $$ or, in self-adjoint form, $$ [ z ^ \gamma ... (Mathematics) [62%] 2023-12-28
9. Hypergeometric identity: In mathematics, hypergeometric identities are equalities involving sums over hypergeometric terms, i.e. the coefficients occurring in hypergeometric series. (Equalities involving sums over the coefficients occurring in hypergeometric series) [62%] 2023-12-30 [Factorial and binomial topics] [Hypergeometric functions]...
10. Hypergeometric distribution: In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of \displaystyle{ k }[/math] successes (random draws for which the object drawn has a specified feature) in \displaystyle{ n }[/math] draws, without replacement ... (Discrete probability distribution) [62%] 2024-03-05 [Discrete distributions] [Factorial and binomial topics]...
11. Functions (mathematics): This page is about mathematical functions. For functions in the context of computer programming, see functions. (Mathematics) [60%] 2024-01-03 [Pre-Calculus]
12. Function (engineering): In engineering, a function is interpreted as a specific process, action or task that a system is able to perform. In the lifecycle of engineering projects, there are usually distinguished subsequently: Requirements and Functional specification documents. (Engineering) [53%] 2023-11-04 [Engineering concepts]
13. Function (computer programming): In computer programming, a function or subroutine is a sequence of program instructions that performs a specific task, packaged as a unit. This unit can then be used in programs wherever that particular task should be performed. (Computer programming) [53%] 2023-11-04 [Source code] [Programming constructs]...
14. Function: A function "f" is a fixed method for calculating a unique output "f(x)" for every given input "x". For example, the polynomial function takes numbers as inputs and outputs their squares. [53%] 2023-02-05 [Mathematics]
15. Function: Function,1 in mathematics, a variable number the value of which depends upon the values of one or more other variable numbers. The theory of functions is conveniently divided into (I. Functions of Real Variables, wherein real, and only real ... [53%] 2022-09-02
16. Function (mathematics): The mathematical concept of a function (also called a mapping or map) expresses dependence between two quantities, one of which is given (the independent variable, argument of the function, or its "input") and the other (the dependent variable, value of ... (Mathematics) [53%] 2023-06-26
17. Function (mathematics): Template:Otheruse The mathematical concept of a function expresses dependence between two quantities, one of which is given (the independent variable, argument of the function, or its "input") and the other produced (the dependent variable, value of the function, or ... (Mathematics) [53%] 2023-12-19 [Functions and mappings] [Basic concepts in set theory]...
18. Function (mathematics): In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the ... (Mathematics) [53%] 2024-01-06 [Functions and mappings] [Basic concepts in set theory]...
19. Function: One of the basic concepts in mathematics. Let two sets $X$ and $Y$ be given and suppose that to each element $x\in X$ corresponds an element $y\in Y$, which is denoted by $f(x)$. (Mathematics) [53%] 2023-10-17
20. Function (musician): David Charles Sumner (born 1 December 1973), who records as Function, is an American techno DJ and producer. Born in the Canarsie area of Brooklyn in New York City Sumner's early musical interests included Kraftwerk, Afrika Bambaataa, Man Parrish ... (Musician) [53%] 2024-01-04 [American techno musicians]