Chebyshev polynomials (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Chebyshev polynomials" in English language version.

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Beckenbach, E. F.; Seidel, W.; Szász, Otto (1951), "Recurrent determinants of Legendre and of ultraspherical polynomials", Duke Math. J., 18: 1–10, doi:10.1215/S0012-7094-51-01801-7, MR 0040487
Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 22". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. p. 778. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.

ams.org

Ritt, J. F. (1922). "Prime and Composite Polynomials". Trans. Amer. Math. Soc. 23: 51–66. doi:10.1090/S0002-9947-1922-1501189-9.

archive.org

Bateman, Harry; Bateman Manuscript Project (1953). Erdélyi, Arthur (ed.). Higher Transcendental Functions. Vol. II. Research associates: W. Magnus, F. Oberhettinger [de], F. Tricomi (1st ed.). New York: McGraw-Hill. p. 184, eq. (3), (4). LCCN 53-5555. Reprint: 1981. Melbourne, FL: Krieger. ISBN 0-89874-069-X.
Saal, Rudolf (January 1979). Handbook of Filter Design (in English and German) (1st ed.). Munich, Germany: Allgemeine Elektricitais-Gesellschaft. pp. 25, 26, 56–61, 116, 117. ISBN 3-87087-070-2.

arxiv.org

Mathar, R. J. (2006). "Chebyshev series expansion of inverse polynomials". J. Comput. Appl. Math. 196 (2): 596–607. arXiv:math/0403344. Bibcode:2006JCoAM.196..596M. doi:10.1016/j.cam.2005.10.013. S2CID 16476052.
Wolfram, D. A. (2022). "Factoring Chebyshev polynomials with minimal polynomials of $\cos(2\pi /d)$ ". Bulletin of the Australian Mathematical Society. arXiv:2106.14585. doi:10.1017/S0004972722000235.

bnf.fr

gallica.bnf.fr

Viète, François (1646). Francisci Vietae Opera mathematica : in unum volumen congesta ac recognita / opera atque studio Francisci a Schooten (PDF). Bibliothèque nationale de France.

books.google.com

Mason & Handscomb 2002. Mason, J. C.; Handscomb, D.C. (2002). Chebyshev Polynomials. Chapman and Hall/CRC. doi:10.1201/9781420036114. ISBN 978-1-4200-3611-4.

caltech.edu

authors.library.caltech.edu

Bateman, Harry; Bateman Manuscript Project (1953). Erdélyi, Arthur (ed.). Higher Transcendental Functions. Vol. II. Research associates: W. Magnus, F. Oberhettinger [de], F. Tricomi (1st ed.). New York: McGraw-Hill. p. 184, eq. (3), (4). LCCN 53-5555. Reprint: 1981. Melbourne, FL: Krieger. ISBN 0-89874-069-X.

doi.org

Lanczos, C. (1952). "Solution of systems of linear equations by minimized iterations". Journal of Research of the National Bureau of Standards. 49 (1): 33. doi:10.6028/jres.049.006.
Schaeffer, A. C. (1941). "Inequalities of A. Markoff and S. Bernstein for polynomials and related functions". Bulletin of the American Mathematical Society. 47 (8): 565–579. doi:10.1090/S0002-9904-1941-07510-5. ISSN 0002-9904.
Ritt, J. F. (1922). "Prime and Composite Polynomials". Trans. Amer. Math. Soc. 23: 51–66. doi:10.1090/S0002-9947-1922-1501189-9.
Beckenbach, E. F.; Seidel, W.; Szász, Otto (1951), "Recurrent determinants of Legendre and of ultraspherical polynomials", Duke Math. J., 18: 1–10, doi:10.1215/S0012-7094-51-01801-7, MR 0040487
Mason & Handscomb 2002. Mason, J. C.; Handscomb, D.C. (2002). Chebyshev Polynomials. Chapman and Hall/CRC. doi:10.1201/9781420036114. ISBN 978-1-4200-3611-4.
Cody, W. J. (1970). "A survey of practical rational and polynomial approximation of functions". SIAM Review. 12 (3): 400–423. doi:10.1137/1012082.
Mathar, R. J. (2006). "Chebyshev series expansion of inverse polynomials". J. Comput. Appl. Math. 196 (2): 596–607. arXiv:math/0403344. Bibcode:2006JCoAM.196..596M. doi:10.1016/j.cam.2005.10.013. S2CID 16476052.
Gürtaş, Y. Z. (2017). "Chebyshev Polynomials and the minimal polynomial of $\cos(2\pi /n)$ ". American Mathematical Monthly. 124 (1): 74–78. doi:10.4169/amer.math.monthly.124.1.74. S2CID 125797961.
Wolfram, D. A. (2022). "Factoring Chebyshev polynomials of the first and second kinds with minimal polynomials of $\cos(2\pi /d)$ ". American Mathematical Monthly. 129 (2): 172–176. doi:10.1080/00029890.2022.2005391. S2CID 245808448.
Wolfram, D. A. (2022). "Factoring Chebyshev polynomials with minimal polynomials of $\cos(2\pi /d)$ ". Bulletin of the Australian Mathematical Society. arXiv:2106.14585. doi:10.1017/S0004972722000235.
Rayes, M. O.; Trevisan, V.; Wang, P. S. (2005), "Factorization properties of chebyshev polynomials", Computers & Mathematics with Applications, 50 (8–9): 1231–1240, doi:10.1016/j.camwa.2005.07.003
Mason, J. C.; Elliott, G. H. (1993), "Near-minimax complex approximation by four kinds of Chebyshev polynomial expansion", J. Comput. Appl. Math., 46 (1–2): 291–300, doi:10.1016/0377-0427(93)90303-S

harvard.edu

ui.adsabs.harvard.edu

Mathar, R. J. (2006). "Chebyshev series expansion of inverse polynomials". J. Comput. Appl. Math. 196 (2): 596–607. arXiv:math/0403344. Bibcode:2006JCoAM.196..596M. doi:10.1016/j.cam.2005.10.013. S2CID 16476052.

loc.gov

lccn.loc.gov

Bateman, Harry; Bateman Manuscript Project (1953). Erdélyi, Arthur (ed.). Higher Transcendental Functions. Vol. II. Research associates: W. Magnus, F. Oberhettinger [de], F. Tricomi (1st ed.). New York: McGraw-Hill. p. 184, eq. (3), (4). LCCN 53-5555. Reprint: 1981. Melbourne, FL: Krieger. ISBN 0-89874-069-X.
Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 22". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. p. 778. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.

loc.gov

Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 22". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. p. 778. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.

math.ca

fq.math.ca

Horadam, A. F. (2002), "Vieta polynomials" (PDF), Fibonacci Quarterly, 40 (3): 223–232

nasa.gov

ntrs.nasa.gov

Desmarais, Robert N.; Bland, Samuel R. (1995), "Tables of properties of airfoil polynomials", NASA Reference Publication 1343, National Aeronautics and Space Administration

projecteuclid.org

Schaeffer, A. C. (1941). "Inequalities of A. Markoff and S. Bernstein for polynomials and related functions". Bulletin of the American Mathematical Society. 47 (8): 565–579. doi:10.1090/S0002-9904-1941-07510-5. ISSN 0002-9904.

scottsarra.org

"Chebyshev Interpolation: An Interactive Tour". Archived from the original on 18 March 2017. Retrieved 2 June 2016.

semanticscholar.org

api.semanticscholar.org

Mathar, R. J. (2006). "Chebyshev series expansion of inverse polynomials". J. Comput. Appl. Math. 196 (2): 596–607. arXiv:math/0403344. Bibcode:2006JCoAM.196..596M. doi:10.1016/j.cam.2005.10.013. S2CID 16476052.
Gürtaş, Y. Z. (2017). "Chebyshev Polynomials and the minimal polynomial of $\cos(2\pi /n)$ ". American Mathematical Monthly. 124 (1): 74–78. doi:10.4169/amer.math.monthly.124.1.74. S2CID 125797961.
Wolfram, D. A. (2022). "Factoring Chebyshev polynomials of the first and second kinds with minimal polynomials of $\cos(2\pi /d)$ ". American Mathematical Monthly. 129 (2): 172–176. doi:10.1080/00029890.2022.2005391. S2CID 245808448.

ubc.ca

math.ubc.ca

Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 22". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. p. 778. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.

ugent.be

cage.ugent.be

Demeyer, Jeroen (2007). Diophantine Sets over Polynomial Rings and Hilbert's Tenth Problem for Function Fields (PDF) (Ph.D. thesis). p. 70. Archived from the original (PDF) on 2 July 2007.

umich.edu

www-personal.umich.edu

Boyd, John P. (2001). Chebyshev and Fourier Spectral Methods (PDF) (second ed.). Dover. ISBN 0-486-41183-4. Archived from the original (PDF) on 31 March 2010. Retrieved 19 March 2009.

web.archive.org

Demeyer, Jeroen (2007). Diophantine Sets over Polynomial Rings and Hilbert's Tenth Problem for Function Fields (PDF) (Ph.D. thesis). p. 70. Archived from the original (PDF) on 2 July 2007.
Boyd, John P. (2001). Chebyshev and Fourier Spectral Methods (PDF) (second ed.). Dover. ISBN 0-486-41183-4. Archived from the original (PDF) on 31 March 2010. Retrieved 19 March 2009.
"Chebyshev Interpolation: An Interactive Tour". Archived from the original on 18 March 2017. Retrieved 2 June 2016.

wikipedia.org

de.wikipedia.org

Bateman, Harry; Bateman Manuscript Project (1953). Erdélyi, Arthur (ed.). Higher Transcendental Functions. Vol. II. Research associates: W. Magnus, F. Oberhettinger [de], F. Tricomi (1st ed.). New York: McGraw-Hill. p. 184, eq. (3), (4). LCCN 53-5555. Reprint: 1981. Melbourne, FL: Krieger. ISBN 0-89874-069-X.

worldcat.org

Schaeffer, A. C. (1941). "Inequalities of A. Markoff and S. Bernstein for polynomials and related functions". Bulletin of the American Mathematical Society. 47 (8): 565–579. doi:10.1090/S0002-9904-1941-07510-5. ISSN 0002-9904.