메뉴 건너뛰기




Volumn 10, Issue 3, 2003, Pages 318-339

Q-analogs of classical 6-periodicity: From euler to chebyshev

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0042524641     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2003.10.3.5     Document Type: Article
Times cited : (4)

References (27)
  • 1
    • 0042597968 scopus 로고
    • Euler’s Pentagonal Number Theorem
    • Andrews, G E. 1983. Euler’s Pentagonal Number Theorem. Math. Mag., 56:279–284.
    • (1983) Math. Mag. , vol.56 , pp. 279-284
    • Andrews, G.E.1
  • 3
    • 85024032811 scopus 로고    scopus 로고
    • Higher Transcendental Functions, Vol. II, McGraw-Hill Book Company, New York, 1953
    • Bateman H, Erdélyi A, Higher Transcendental Functions, Vol. II, McGraw-Hill Book Company, New York, 1953
    • Bateman, H.1    Erdélyi, A.2
  • 7
    • 0035624437 scopus 로고    scopus 로고
    • Divisibility of the Coefficients of Chebyshev Polynomials by Primes
    • Franco, B J O, and Zumpano, A. 2001. Divisibility of the Coefficients of Chebyshev Polynomials by Primes. Fib. Quart., 39:304–308.
    • (2001) Fib. Quart. , vol.39 , pp. 304-308
    • Franco, B.J.O.1    Zumpano, A.2
  • 10
    • 84966204401 scopus 로고
    • Generalized Chebyshev Polynomials Associated with Affine Weyl Groups
    • Hoffman, M E, and Withers, W D. 1988. Generalized Chebyshev Polynomials Associated with Affine Weyl Groups. Trans. Amer. Math. Soc., 308:91–104.
    • (1988) Trans. Amer. Math. Soc. , vol.308 , pp. 91-104
    • Hoffman, M.E.1    Withers, W.D.2
  • 12
    • 0042096814 scopus 로고    scopus 로고
    • Q-Newton Binomial: From Euler to Gauss
    • Kupershmidt, B A. 2000. q-Newton Binomial:From Euler to Gauss. J. Nonlin. Math. Phys., 7:1–10.
    • (2000) J. Nonlin. Math. Phys. , vol.7 , pp. 1-10
    • Kupershmidt, B.A.1
  • 13
    • 25044435797 scopus 로고    scopus 로고
    • … And Free Lunch for All. A Review of Bruce C Berndt’s Ramanujan’s Notebooks, Parts I-V
    • Kupershmidt, B A. 2001. … And Free Lunch for All. A Review of Bruce C Berndt’s Ramanujan’s Notebooks, Parts I-V. J. Nonlin. Math. Phys., 7:R7–R37.
    • (2001) J. Nonlin. Math. Phys. , vol.7 , pp. R7-R37
    • Kupershmidt, B.A.1
  • 16
    • 85023977779 scopus 로고    scopus 로고
    • Problems and Theorems in Analysis, Vol. 1, Springer-Verlag, New York, 1972
    • Pólya G, Szegö G, Problems and Theorems in Analysis, Vol. 1, Springer-Verlag, New York, 1972
    • Pólya, G.1    Szegö, G.2
  • 17
    • 0043098758 scopus 로고
    • Chebyshev Polynomials and the Modulary Group of Level p
    • Rankin, R A. 1954. Chebyshev Polynomials and the Modulary Group of Level p. Math. Scand., 2:315–326.
    • (1954) Math. Scand. , vol.2 , pp. 315-326
    • Rankin, R.A.1
  • 18
    • 0001499172 scopus 로고
    • Permutable Rational Functions
    • Ritt, J F. 1923. Permutable Rational Functions. Trans. Amer. Math. Soc., 25:399–448.
    • (1923) Trans. Amer. Math. Soc. , vol.25 , pp. 399-448
    • Ritt, J.F.1
  • 20
    • 0035532150 scopus 로고    scopus 로고
    • Some Divergent Trigonometric Integrals
    • Talvila, E. 2001. Some Divergent Trigonometric Integrals. Amer. Math. Monthly, 108:432–436.
    • (2001) Amer. Math. Monthly , vol.108 , pp. 432-436
    • Talvila, E.1
  • 21
    • 85024072979 scopus 로고    scopus 로고
    • Chebyshev Polynomials and Recurrence Relations, in Kvanta Selecta: Algebra and Analysis II, Editor: Tabachnikov S, Amer. Math. Soc., Providence, 1999, 51–61
    • Vasil’ev N, Zelevinskii A, Chebyshev Polynomials and Recurrence Relations, in Kvanta Selecta:Algebra and Analysis II, Editor:Tabachnikov S, Amer. Math. Soc., Providence, 1999, 51–61
    • Vasil’ev, N.1    Zelevinskii, A.2
  • 22
    • 0013078613 scopus 로고
    • Integrable Mappings and Lie Algebras
    • (in Russian); Sov. Math. Dokl.35 (1987), 211–213
    • Veselov, A P. 1987. Integrable Mappings and Lie Algebras. Dokl. Akad. Nauk SSSR, 292:1289–1291. (in Russian); Sov. Math. Dokl.35 (1987), 211–213
    • (1987) Dokl. Akad. Nauk SSSR , vol.292 , pp. 1289-1291
    • Veselov, A.P.1
  • 23
    • 0003060614 scopus 로고
    • Integrable Mappings
    • 190 (in Russian); Russian Math. Surveys46 (1991), 1–51
    • Veselov, A P. 1991. Integrable Mappings. Uspekhi Mat. Nauk, 46(5):3–45. 190 (in Russian); Russian Math. Surveys46 (1991), 1–51
    • (1991) Uspekhi Mat. Nauk , vol.46 , Issue.5 , pp. 3-45
    • Veselov, A.P.1
  • 26
    • 0043098809 scopus 로고
    • Folding Polynomials and Their Dynamics
    • Withers, W D. 1988. Folding Polynomials and Their Dynamics. Amer. Math. Monthly, 95:399–413.
    • (1988) Amer. Math. Monthly , vol.95 , pp. 399-413
    • Withers, W.D.1
  • 27
    • 0042096869 scopus 로고    scopus 로고
    • Commuting Polynomials
    • Tabachnikov S., (ed), Providence: Amer. Math. Soc
    • Yantarov, I. 1999. “Commuting Polynomials”. In Kvanta Selecta:Algebra and Analysis II, Edited by:Tabachnikov, S. 31–38. Providence:Amer. Math. Soc.
    • (1999) Kvanta Selecta: Algebra and Analysis II , pp. 31-38
    • Yantarov, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.