Research Article

Finite Rogers-Ramanujan type continued fractions

Volume: 5 Number: 3 October 8, 2018
EN

Finite Rogers-Ramanujan type continued fractions

Abstract

New finite continued fractions related to Bressoud and Santos polynomials are established.

Keywords

References

  1. [1] G. E. Andrews, The theory of partitions, Encyclopedia of Mathematics and its Applications, Vol. 2, Addison–Wesley Publishing Co., Reading, Mass.–London–Amsterdam, 1976.
  2. [2] G. E. Andrews, A. Knopfmacher, P. Paule, H. Prodinger, q–Engel series expansions and Slater’s identities, Quaest. Math. 24(3) (2001) 403–416.
  3. [3] G. E. Andrews, A. Knopfmacher, P. Paule, An infinite family of Engel expansions of Rogers– Ramanujan type, Adv. Appl. Math. 25(1) (2000) 2–11.
  4. [4] G. E. Andrews, J. P. O. Santos, Rogers–Ramanujan type identities for partitions with attached odd parts, Ramanujan J. 1(1) (1997) 91–99.
  5. [5] B. C. Berndt, Ramanujan’s Notebooks, Part III, Springer–Verlag, New York, 1991.
  6. [6] B. C. Berndt, S. S. Huang, J. Sohn, S. H. Son, Some theorems on the Rogers–Ramanujan continued fraction in Ramanujan’s lost notebook, Trans. Amer. Math. Soc. 352 (2000) 2157–2177.
  7. [7] D. M. Bressoud, Some identities for terminating q-series, Math. Proc. Cambridge Philos. Soc. 89(2) (1981) 211–223.
  8. [8] R. Chapman, A new proof of some identities of Bressoud, Int. J. Math. Math. Sci. 32(10) (2002) 627–633.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

October 8, 2018

Submission Date

April 11, 2018

Acceptance Date

July 16, 2018

Published in Issue

Year 2018 Volume: 5 Number: 3

APA
Prodinger, H. (2018). Finite Rogers-Ramanujan type continued fractions. Journal of Algebra Combinatorics Discrete Structures and Applications, 5(3), 137-142. https://doi.org/10.13069/jacodesmath.451218
AMA
1.Prodinger H. Finite Rogers-Ramanujan type continued fractions. Journal of Algebra Combinatorics Discrete Structures and Applications. 2018;5(3):137-142. doi:10.13069/jacodesmath.451218
Chicago
Prodinger, Helmut. 2018. “Finite Rogers-Ramanujan Type Continued Fractions”. Journal of Algebra Combinatorics Discrete Structures and Applications 5 (3): 137-42. https://doi.org/10.13069/jacodesmath.451218.
EndNote
Prodinger H (October 1, 2018) Finite Rogers-Ramanujan type continued fractions. Journal of Algebra Combinatorics Discrete Structures and Applications 5 3 137–142.
IEEE
[1]H. Prodinger, “Finite Rogers-Ramanujan type continued fractions”, Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 5, no. 3, pp. 137–142, Oct. 2018, doi: 10.13069/jacodesmath.451218.
ISNAD
Prodinger, Helmut. “Finite Rogers-Ramanujan Type Continued Fractions”. Journal of Algebra Combinatorics Discrete Structures and Applications 5/3 (October 1, 2018): 137-142. https://doi.org/10.13069/jacodesmath.451218.
JAMA
1.Prodinger H. Finite Rogers-Ramanujan type continued fractions. Journal of Algebra Combinatorics Discrete Structures and Applications. 2018;5:137–142.
MLA
Prodinger, Helmut. “Finite Rogers-Ramanujan Type Continued Fractions”. Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 5, no. 3, Oct. 2018, pp. 137-42, doi:10.13069/jacodesmath.451218.
Vancouver
1.Helmut Prodinger. Finite Rogers-Ramanujan type continued fractions. Journal of Algebra Combinatorics Discrete Structures and Applications. 2018 Oct. 1;5(3):137-42. doi:10.13069/jacodesmath.451218