Asymptotics of generalized jacobi polynomials

Polynomialsp ₁,(z),p ₂ (z), of degreen are defined by the relation (p_1 (z) + p_2 (z)prodnolimits_{i = 1}^3 {(z - b_l )^{v_1 } } = O(z^{ - n - 1} ),z to infty ) , where (sumnolimits_{i = 1}^3 {v_i = 0} ) . We obtain the asymptotic behavior of these polynomials asn→∞ and show that it agrees with a previous conjecture.