Asymptotics associated with Exponential Weights
نویسنده
چکیده
We announce some asymptotics for orthogonal and extremal polynomials associated with exponential weights W = exp ( Q). 1 Classes of Weights Let I be a nite or in nite interval and let Q : I ! [0;1) be convex. Let W := exp ( Q) and assume that all power moments Z I xW (x)dx; n = 0; 1; 2; 3; ::: are nite. Then we may de ne orthonormal polynomials pn(x) = pn(W ; x) = n(W )x + : : : ; n(W ) > 0;
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