IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE
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Publication:3502885
DOI10.1142/S1793042107000912zbMath1148.33013arXiv1812.05563MaRDI QIDQ3502885
Publication date: 20 May 2008
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.05563
Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13) Partition identities; identities of Rogers-Ramanujan type (11P84)
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Cites Work
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- A generalization of the Rogers-Ramanujan identities for all moduli
- The well-poised thread: An organized chronicle of some amazing summations and their implications
- Roger-Ramanujan type identities for partitions with attached odd parts
- On the modified convergence of some continued fractions of Rogers- Ramanujan type
- Gordon's theorem for overpartitions.
- Identities of the Rogers-Ramanujan-Bailey type
- Some continued fractions of the Rogers-Ramanujan type
- A Combinatorial Generalization of the Rogers-Ramanujan Identities
- Overpartitions
- The WP-Bailey Tree and its Implications
- q-Difference Equations and Identities of the Rogers–Ramanujan–Bailey Type
- Overpartition Theorems of the Rogers–Ramanujan Type
- Some new partition theorems
- ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
- On identities of the Rogers-Ramanujan type
- Change of base in Bailey pairs
- An algebraic identity of F. H. Jackson and its implications for partitions