Rogers–Szegő polynomials
Encyclopedia
In mathematics, the Rogers–Szegő polynomials are a family of polynomials orthogonal on the unit circle introduced by , who was inspired by the continuous q-Hermite polynomials studied by Leonard James Rogers
. They are given by
where (q;q)n is the descending Pochhammer symbol
.
Leonard James Rogers
Leonard James Rogers FRS was a British mathematician who was the first to discover the Rogers-Ramanujan identity and Hölder's inequality, and who introduced Rogers polynomials...
. They are given by
where (q;q)n is the descending Pochhammer symbol
Pochhammer symbol
In mathematics, the Pochhammer symbol introduced by Leo August Pochhammer is the notation ', where is a non-negative integer. Depending on the context the Pochhammer symbol may represent either the rising factorial or the falling factorial as defined below. Care needs to be taken to check which...
.