Geodesic
Representation of a Certain Classof Polynomials
Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 297-301

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In this note, we discuss a representation of the class of polynomials with real coefficients having all zeros in a given disk of the complex plane C, in terms of convex combinations of certain extremal polynomials of this class. The result stated in the theorem is known [1] for polynomials having n real zeros in the interval [a.b.]. In the following z will be a complex number and D[(a + b)/2, (b-a)/2] the closed disk of the complex plane centered at the real point (a + b)/2 and having radius (b-a)/2. 
Leblanc, Raymond. Representation of a Certain Classof Polynomials. Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 297-301. doi: 10.4153/CMB-1976-046-3
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     title = {Representation of a {Certain} {Classof} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {297--301},
     year = {1976},
     volume = {19},
     number = {3},
     doi = {10.4153/CMB-1976-046-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-046-3/}
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