Quadratic addition rules for three $q$-integers

Mongkhon Tuntapthai

The $q$-integer is the polynomial $[n{]}_q=1+q+q^2+\cdots +q^{n-1}$. For every sequences of polynomials $\mathcal{S}=\{s_m(q){\}}_{m=1}^{\infty }$, $\mathcal T = \{t_m(q)\}_{m=1}…