Macdonald Polynomials of Type $C_n$ with One-Column Diagrams and Deformed Catalan Numbers

Ayumu Hoshino, Jun'ichi Shiraishi

We present an explicit formula for the transition matrix $\mathcal{C}$ from the type $C_n$ degeneration of the Koornwinder polynomials $P_{(1^r)}(x|a,-a,c,-c|q,t)$ with one…