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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 x n is called hypergeometric if the ratio of successive terms x n+1 /x n is a rational function of n.
Q series may refer to: Technology. Bombardier Q series (Dash 8), aircraft; ... Pentax Q series, cameras; Mathematics. Q-series; Hypergeometric q-series; See also
The earliest q-analog studied in detail is the basic hypergeometric series, which was introduced in the 19th century. [1] q-analogs are most frequently studied in the mathematical fields of combinatorics and special functions. In these settings, the limit q → 1 is often formal, as q is often discrete-valued (for example, it may represent a ...
The q-Pochhammer symbol is a major building block in the construction of q-analogs; for instance, in the theory of basic hypergeometric series, it plays the role that the ordinary Pochhammer symbol plays in the theory of generalized hypergeometric series.
One of the best post-Christmas sales we look forward to every year is Nordstrom's Half-Yearly Sale, which typically kicks off the day after Christmas and lasts for a couple of weeks.Ring in the ...
An 80-year-old woman died one month after her Sleep Number bed suddenly moved without warning and trapped her against a wall for two days last year, a new lawsuit alleges.
An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.
Conference foes No. 17 BYU and No. 23 Colorado will square off on Saturday night in the Alamo Bowl in San Antonio. The Cougars (10-2) and Buffaloes (9-3) once had their sights set on a Big 12 ...