Leo August Pochhammer [SEP] place of birth
Leo August Pochhammer
Leo August Pochhammer (25 August 1841, Stendal – 24 March 1920, Kiel) was a Prussian mathematician who was educated in Berlin, obtaining his Ph.D. in 1863 under Ernst Kummer. He became a lecturer in 1874, then professor of mathematics at the Christian-Albrechts-Universität of Kiel (1877-1919), where he was appointed Rektor (commissioner of education) in 1893. He is known for his work on special functions and introduced the Pochhammer symbol, now generally used for expressing hypergeometric functions
Falling and rising factorials
In mathematics, the falling factorial (sometimes called the descending factorial, falling sequential product, or lower factorial) is defined as the polynomial
The rising factorial (sometimes called the Pochhammer function, Pochhammer polynomial, ascending factorial, rising sequential product, or upper factorial) is defined as
The value of each is taken to be 1 (an empty product) when "n" = 0. These symbols are collectively called
factorial powers.
The Pochhammer symbol, introduced by Leo August Pochhammer