Generalizations of the classical Chebyshev polynomials to polynomials in two variables
Czechoslovak Mathematical Journal (1982)
- Volume: 32, Issue: 4, page 516-528
- ISSN: 0011-4642
Access Full Article
topHow to cite
topDunn, Ken B., and Lidl, Rudolf. "Generalizations of the classical Chebyshev polynomials to polynomials in two variables." Czechoslovak Mathematical Journal 32.4 (1982): 516-528. <http://eudml.org/doc/13339>.
@article{Dunn1982,
author = {Dunn, Ken B., Lidl, Rudolf},
journal = {Czechoslovak Mathematical Journal},
keywords = {Chebyshev polynomials in one variable of the first and second kind; polynomials over finite fields},
language = {eng},
number = {4},
pages = {516-528},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalizations of the classical Chebyshev polynomials to polynomials in two variables},
url = {http://eudml.org/doc/13339},
volume = {32},
year = {1982},
}
TY - JOUR
AU - Dunn, Ken B.
AU - Lidl, Rudolf
TI - Generalizations of the classical Chebyshev polynomials to polynomials in two variables
JO - Czechoslovak Mathematical Journal
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 4
SP - 516
EP - 528
LA - eng
KW - Chebyshev polynomials in one variable of the first and second kind; polynomials over finite fields
UR - http://eudml.org/doc/13339
ER -
References
top- T. Bang, 10.7146/math.scand.a-10418, Math. Scand., v. 2, 1954, pp. 327-333. (1954) Zbl0057.28301MR0067130DOI10.7146/math.scand.a-10418
- B. M. Dankovič, Orttiogonal polynomials in several variables, private communication, 1974. (1974)
- L. E. Dickson, Linear Groups With An Exposition Of Galois Field Theory, New York, Dover, 1958. (1958) MR0104735
- R. Eier, R. Lidl, 10.1007/BF02993497, Abh. Math. Sem. Univ. Hamburg, v. 41, 1974, pp. 17-27. (1974) MR0344546DOI10.1007/BF02993497
- A. Erdélyi W. Magnus F. Oberhettinger F. G. Tricomi, Higher Transcendental Functions, v. II, McGraw-Hill, New York, 1953. (1953) MR0058756
- M. Fried, 10.1307/mmj/1029000374, Michigan Math. J., v. 17, 1970, pp. 41 - 55. (1970) Zbl0169.37702MR0257033DOI10.1307/mmj/1029000374
- R. O. Hays, Multi-dimensional extensions of the Chebyshev polynomials, Math. Соmр., v. 27, 1973, pp. 621-624. (1973) Zbl0281.65011MR0333526
- H. K. Kaiser, R. Lidl, 10.1007/BF01301235, Monatsh. Math., v. 81, 1976, pp. 109-111. (1976) Zbl0364.33013MR0396505DOI10.1007/BF01301235
- T. H. Koornwinder, 10.1016/1385-7258(74)90013-4, Nederl. Akad. Wetensch. Proc. Ser A77 = Jndag. Math., v. 36, 1974, pp. 48 - 66. (1974) Zbl0267.33008MR0340673DOI10.1016/1385-7258(74)90013-4
- T. H. Koornwinder, 10.1016/1385-7258(74)90026-2, Nederl. Akad. Wetensch. Proc. Ser. A77 = Jndag. Math., v. 36, 1974, pp. 357-381. (1974) MR0357905DOI10.1016/1385-7258(74)90026-2
- T. H. Koornwinder, Two-variable analogues of the classical orthogonal polynomials, in Theory And Application Of Special Functions, (R. Askey, ed.), pp. 435 - 495, Academic Press, New York, 1975. (1975) Zbl0326.33002MR0402146
- H. Lausch W. Nöbauer, Algebra Of Polynomials, North Holland, Amsterdam, 1973. (1973) MR0349544
- R. Lidl С. Wells, Chebyshev polynomials in several variables, J. Reine Angew. Math., v. 255, 1972, рр. 104-111. (1972) MR0306164
- R. Lidl, 10.1007/BF01295046, Monatsh. Math., v. 77, 1973, pp. 132-147. (1973) Zbl0257.12011MR0318106DOI10.1007/BF01295046
- R. Lidl, Tschebyscheffpolynome in mehreren Variablen, J. Reine Angew. Math., v. 273, 1975, pp. 178-198. (1975) Zbl0298.33009MR0364200
- R. A. Rankin, Chebyshev polynomials and the modulary group of level , Math. Scand., V. 2, 1954, pp. 315-326. (1954) MR0067154
- P. E. Ricci, I polinomi di Tchebycheff in più variabili, Rend. Di Matem. v. 11, 1978, pp. 295-327. (1978) Zbl0405.15012
- T. J. Rivlin, The Chebyshev Polynomials, John Wiley & Sons, New York, 1974. (1974) Zbl0299.41015MR0450850
- I. Schur, Gesammelte Abhandlungen, v. 3, Springer Verlag, Berlin, 1973. (1973) Zbl0274.01054
- G. Szegö, Orthogonal Polynomials, A.M.S. Colloquium Publications, Vol. 23, American Mathematical Society, Providence, R.I., 1967. (1967) MR0310533
- K. B. Dunn R. Lidl, Multi-dimensional generalization of the Chebyshev polynomials, I, II, Proc. Japan Acad. 56, 1980, pp. 154-165. (1980) MR0575995
- R. Eier R. Lidl K. B. Dunn, Differential equations for generalized Chebyshev polynomials, Rendi di Matem. 1, 1981, pp. 633-646. (1981) MR0647460
- R. Eier R. Lidl, 10.1007/BF01475757, Math. Ann. 260, 1982, pp. 93-99. (1982) MR0664368DOI10.1007/BF01475757
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.