What does hypergeometric series mean?
Definitions for hypergeometric series
hy·per·ge·o·met·ric se·ries
This dictionary definitions page includes all the possible meanings, example usage and translations of the word hypergeometric series.
Wiktionary
hypergeometric seriesnoun
Any power series such that the ratio of the (k+1)-th and the k-th terms is a rational function of the natural integer k.
Wikipedia
hypergeometric series
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-order linear ordinary differential equation (ODE). Every second-order linear ODE with three regular singular points can be transformed into this equation. For systematic lists of some of the many thousands of published identities involving the hypergeometric function, see the reference works by Erdélyi et al. (1953) and Olde Daalhuis (2010). There is no known system for organizing all of the identities; indeed, there is no known algorithm that can generate all identities; a number of different algorithms are known that generate different series of identities. The theory of the algorithmic discovery of identities remains an active research topic.
Numerology
Chaldean Numerology
The numerical value of hypergeometric series in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of hypergeometric series in Pythagorean Numerology is: 8
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"hypergeometric series." Definitions.net. STANDS4 LLC, 2024. Web. 30 Apr. 2024. <https://www.definitions.net/definition/hypergeometric+series>.
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