Proof of a conjecture of Askey on orthogonal expansions with positive coefficients
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- by William F. Trench PDF
- Bull. Amer. Math. Soc. 81 (1975), 954-956
References
- Richard Askey, Orthogonal expansions with positive coefficients, Proc. Amer. Math. Soc. 16 (1965), 1191–1194. MR 185331, DOI 10.1090/S0002-9939-1965-0185331-4
- Richard Askey, Orthogonal polynomials and positivity, Math. Centrum Amsterdam Afd. Toegepaste Wisk. Rep. (1969), ii+34. MR 247356
- T. J. Stieltjes, Sur les racines de l’équation $X^n=0$, Acta Math. 9 (1887), no. 1, 385–400 (French). MR 1554723, DOI 10.1007/BF02406744
- William F. Trench, Nonnegative and alternating expansions of one set of orthogonal polynomials in terms of another, SIAM J. Math. Anal. 4 (1973), 111–115. MR 326284, DOI 10.1137/0504012
- Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0158502
- M. Wayne Wilson, Nonnegative expansions of polynomials, Proc. Amer. Math. Soc. 24 (1970), 100–102. MR 287244, DOI 10.1090/S0002-9939-1970-0287244-8
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 954-956
- MSC (1970): Primary 42A52, 42A56
- DOI: https://doi.org/10.1090/S0002-9904-1975-13912-7
- MathSciNet review: 0374798