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A new discrete analog of the Legendre polynomials
Author:
M. Wayne Wilson
Journal:
Bull. Amer. Math. Soc. 76 (1970), 345-348
MSC (1970):
Primary 3340, 3327
MathSciNet review:
0251275
Full-text PDF
References |
Similar Articles |
Additional Information
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- 2.
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J. Levit, The zeros of the Hahn polynomials, SIAM Rev.
9 (1967), 191–203. MR 0213627
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- 5.
M.
Wayne Wilson, Nonnegative expansions of
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1 (1970), 131–139. MR 0257439
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- 7.
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W. Wilson, Convergence properties of discrete analogs of orthogonal
polynomials., Computing (Arch. Elektron. Rechnen) 5
(1970), 1–5 (English, with German summary). MR 0258326
(41 #2973)
- 8.
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- 9.
P.
Wynn, A general system of orthogonal polynomials, Quart. J.
Math. Oxford Ser. (2) 18 (1967), 81–96. MR 0210963
(35 #1848)
- 1.
- W. C. Hahn, Über Orthogalpolynorne, die q-Differenzgleichungen genügen, Math. Nachr. 2 (1949), 4-34. MR 11, 29. MR 30647
- 2.
- S. Karlin and J. L. McGregor, The Hahn polynomials, formulas, and an application, Scripta Math. 26 (1961), 33-46. MR 25 #2249; MR 30 p. 1202. MR 138806
- 3.
- R. J. Levit, The zeros of the Hahn polynomials, SIAM Rev. 9 (1967), 191-203. MR 35 #4485. MR 213627
- 4.
- G. Szegö, Orthogonal polynomials, 2nd rev. ed., Amer. Math. Soc. Colloq, Publ., vol. 23, Amer. Math. Soc. Providence, R. I., 1959. MR 1, 14; MR 21 #5029. MR 106295
- 5.
- M. W. Wilson, Nonnegative expansions of polynomials, Proc. Amer. Math. Soc. 24 (1970), 100-102. MR 287244
- 6.
- M. W. Wilson, On the Hahn polynomials, SIAM J. Math. Anal. 1 (1970), 37-43. MR 257439
- 7.
- M. W. Wilson, Convergence properties of discrete analogs of orthogonal polynomials, Computing J. (to appear). MR 258326
- 8.
- M. W. Wilson, Two discrete analogs of Legendre polynomials, a comparison, RC 2318, IBM Watson Research Center, Yorktown Heights, New York, 1968.
- 9.
- P. Wynn, A general system of orthogonal polynomials, Quart. J. Math. Oxford (2), 18 (1967), 81-96. MR 35 #1848. MR 210963
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12472-7
PII:
S 0002-9904(1970)12472-7
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