On Burkholder function for orthogonal martingales and zeros of Legendre polynomials
نویسندگان
چکیده
منابع مشابه
Zeros of Polynomials Orthogonal on Several Intervals
Let a1 < a2 < . . . < a2l, Ej = [a2j−1, a2j ], put E = ⋃l j=1 Ej and H(x) = ∏2l j=1(x − aj). Furthermore let pn(x) = x + . . . be the polynomial of degree n orthogonal on E with respect to a weight function of the form w/ √ −H with square root singularities at the boundary points of E and w ∈ C(E). We study and answer the following questions: how many zeros has pn in the interval Ej , j ∈ {1, ....
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2013
ISSN: 1080-6377
DOI: 10.1353/ajm.2013.0004