Pochhammer symbol - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T01:18:09Z http://mathoverflow.net/feeds/question/62839 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/62839/pochhammer-symbol Pochhammer symbol mostafa 2011-04-24T13:31:30Z 2011-04-24T13:31:30Z <p>Let $n$ be a positive integer. If we denote by (x)_n:=x(x+1)...(x+n-1)</p> <p>It is known that (c-b)_n/(c)_n is expressed by the hypergeometric function 2F_1.</p> <p>Now let I be a subset of {0,1,2,..,n-1} and set $(x)<em>{n,I}:=\prod</em>{i\in I}(x+i)$.</p> <p>Is there a way to express (c-b)<em>{n,I}/(c)</em>{n,I} by the hypergeometric function 2F_1 or a modified version of it ?</p> <p>Thanks in advance.</p>