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Proof of a conjecture of Askey on orthogonal expansions with positive coefficients
Author(s):
William F.
Trench
Journal:
Bull. Amer. Math. Soc.
81
(1975),
954-956.
MSC (1970):
Primary 42A52, 42A56
MathSciNet review:
0374798
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References:
- 1.
- R. Askey, Orthogonal expansions with positive coefficients, Proc. Amer. Math. Soc. 16 (1965), 1191-1194. MR 32 #2799. MR 185331
- 2.
- R. Askey, Orthogonal polynomials and positivity, Studies in Appl. Math., no. 6, SIAM, Philadelphia, Pa., 1970. MR 247356
- 3.
- T. J. Stieltjes, Sur les racines de l'équation X, Acta Math. 9 (1887), 385-400. MR 1554723
- 4.
- W. 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 48 #4628. MR 326284
- 5.
- R. S. Varga, Matrix iterative analysis, Prentioe-Hall, Englewood Cliffs, N. J., 1962. MR 28 #1725. MR 158502
- 6.
- M. W. Wilson, Nonnegative expansions of polynomials, Proc. Amer. Math. Soc. 24 (1970), 100-102. MR 44 #4451. MR 287244
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13912-7
PII:
S 0002-9904(1975)13912-7
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