The horse has shrunk in size as it evolved.
In mathematics , the Rogers -- Szego 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 .. polynomials orthogonal on the unit circle. polynomials orthogonal on the unit circle. Leonard James Rogers. Leonard James Rogers. They are given by. where -LRB- q ; q -RRB- n is the descending q-Pochhammer symbol .. q-Pochhammer symbol. q-Pochhammer symbol. Furthermore , the satisfy -LRB- for -RRB- the recurrence relation. with and .