In:
Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences, Cambridge University Press (CUP), Vol. 62, No. 2 ( 1946), p. 187-203
Abstract:
1. Introduction .—The object of this paper is twofold: firstly, to present a table of the Chebyshev polynomials C n ( x ) = 2 cos ( n cos −1 ½ x ) for n = I(I)12 and x = o(o·o2)2, values being exact or to 10 decimals; secondly, to provide a working list of coefficients and formulæ relating to these and allied functions. Valuable accounts of applications and properties will be found in Van der Pol and Weijers, 1933, in Lanczos, 1938, and in Szego, 1939. Further applications are indicated in the following paper, by J. C. P. Miller, which also suggests methods of reducing the inconvenience caused by the present lack of tables of the allied polynomials S n ( x ). It is hoped that suitable tables will be prepared later.
Type of Medium:
Online Resource
ISSN:
0080-4541
,
2053-5902
DOI:
10.1017/S0080454100006579
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1946
detail.hit.zdb_id:
209230-X
SSG:
11
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