Basic hypergeometric series
Q-analog of hypergeometric series / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Basic hypergeometric function?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
In mathematics, basic hypergeometric series, or q-hypergeometric series, are q-analogue generalizations of generalized hypergeometric series, and are in turn generalized by elliptic hypergeometric series. A series xn is called hypergeometric if the ratio of successive terms xn+1/xn is a rational function of n. If the ratio of successive terms is a rational function of qn, then the series is called a basic hypergeometric series. The number q is called the base.
The basic hypergeometric series was first considered by Eduard Heine (1846). It becomes the hypergeometric series ;\gamma ;x)} in the limit when base .