Abstract
In this note we prove that the sequences of extreme (greatest and least) zeros of orthogonal polynomials on the real axis determine uniquely the "moments" of the "distribution function" and the polynomials. We establish a method of construction.
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References
N.I. AKHIEZER, "The Classical Moment Problem". Univ. Math. Monog., Oliver & Boyd Ltd. (1965)
G. SZEGÖ, "Orthogonal Polynomials". A.M.S., Colloquium Publications, XXIII, Providence (1939)
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© 1985 Springer-Verlag
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Vinuesa, J., Guadalupe, R. (1985). Zeros extrêmaux de polynômes orthogonaux. In: Brezinski, C., Draux, A., Magnus, A.P., Maroni, P., Ronveaux, A. (eds) Polynômes Orthogonaux et Applications. Lecture Notes in Mathematics, vol 1171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076556
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DOI: https://doi.org/10.1007/BFb0076556
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