hypergeometric
Speech parts
1. hypergeometric - Noun
2. hypergeometric - Adjective
Meaning
hypergeometric (not comparable)
(mathematics) Pertaining to mathematical entities of different kinds (series, functions, equations, ...) but strictly related to hypergeometric series
hypergeometric (plural hypergeometrics)
(mathematics) Such a function, series etc.
Synonyms
Phrases with the word
Examples
Euler had already considered the hypergeometric series : on which Gauss published a memoir in 1812.
He also worked with hypergeometric differential equations in 1857 using complex analytical methods and presented the solutions through the behavior of closed paths about singularities (described by the monodromy matrix ).
When the mean μ is not zero, the plain and absolute moments can be expressed in terms of confluent hypergeometric functions 1 F 1 and U. : : These expressions remain valid even if p is not integer.
Riemann however used such functions for conformal maps (such as mapping topological triangles to the circle) in his 1859 lecture on hypergeometric functions or in his treatise on minimal surfaces.