Hypergeometric

Hypergeometric may refer to several distinct concepts within mathematics: * The hypergeometric function, a solution to the Gaussian hypergeometric differential equation, which provides a general solution to every second-order ordinary differential equation ** Generalized hypergeometric functions, which generalize the hypergeometric function to specific higher orders ** General hypergeometric functions, which provide general solution spaces for whole systems of classical hypergeometric functions * The hypergeometric distribution, a probability distribution which describes the probability of drawing a certain number of successes without replacement from a finite population * Higher-dimensional geometry, which generalizes three-dimensional geometry into an arbitrary number of dimensions; in this context, the prefix hyper- means "n-dimensional" * Hypergeometric motives, a form of motive in algebraic geometry

Hypergeometric may refer to several distinct concepts within mathematics: The hypergeometric function, a solution to the Gaussian hypergeometric differential equation, which provides a general solution to every second-order ordinary differential equation Generalized hypergeometric functions, which generalize the hypergeometric function to specific higher orders General hypergeometric functions, which provide general solution spaces for whole systems of classical hypergeometric functions The hypergeometric distribution, a probability distribution which describes the probability of drawing a certain number of successes without replacement from a finite population Higher-dimensional geometry, which generalizes three-dimensional geometry into an arbitrary number of dimensions; in this context, the prefix hyper- means "n-dimensional" Hypergeometric motives, a form of motive in algebraic geometry

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