A structure relation for some specific orthogonal polynomials

D. Mbouna

By characterizing all orthogonal polynomials sequences $(P_n{)}_{n\ge 0}$ for which $$ (ax+b)(\triangle +2\,\mathrm{I})P_n(x(s-1/2))=(a_n x+b_n)P_n(x)+c_n P_{n-1}(x),\quad n=0,1,2,\…