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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, Vol. 21, pp. 189–190.

By: L. Silverberg n

co-author countries: United States of America 🇺🇸
Source: Web Of Science
Added: August 6, 2018

I N “ConjectureAbout OrthogonalFunctions,”1 I presenteda conjecture “...to provoke insight that could lead to a proof of the conjecture at a later date.” That insight came from Stephen Hendry in his comment about that paper.Hendry showed that the conjecture follows froma theoremgivenin the1939 textbookentitledOrthogonal Polynomialsby Szego. The theorem is called the Gauss–Jacobi quadraturetheorem,althoughcontributionsto the theoremwere also made by Christoffel, Mehler, and Heine.3i8 The theorem is stated as follows. If x1 < x2 < ¢ ¢ ¢ < xn denote the zeros of the polynomial pn.x/, there exist real numbers31; 32; : : : ; 3n such that Z b