EN
Finite Rogers-Ramanujan type continued fractions
Abstract
New finite continued fractions related to Bressoud and Santos polynomials
are established.
Keywords
References
- [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] 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] 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] 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] B. C. Berndt, Ramanujan’s Notebooks, Part III, Springer–Verlag, New York, 1991.
- [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] D. M. Bressoud, Some identities for terminating q-series, Math. Proc. Cambridge Philos. Soc. 89(2) (1981) 211–223.
- [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
Authors
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