Abstract
In this work we use combinatorial tools “color partitions,” “split color partitions,” and “signed partitions” notion to define “signed color partitions” that are further used to derive one hundred Rogers–Ramanujan type identities. The paper lists and provides combinatorial argument using signed color partitions of q-identities listed in Chu–Zhang and Slater’s compendium.
Supported by NBHM Grant No. 2/48(18)/2016/NBHM(R.P.)/R D II/14983.
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References
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Acknowledgments
The authors would like to thank the anonymous referee(s) for their helpful comments that led to a better presentation of the paper.
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Gupta, V., Rana, M. (2019). On Some Combinatorics of Rogers–Ramanujan Type Identities Using Signed Color Partitions. In: Dutta, H., Kočinac, L.D.R., Srivastava, H.M. (eds) Current Trends in Mathematical Analysis and Its Interdisciplinary Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-15242-0_3
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DOI: https://doi.org/10.1007/978-3-030-15242-0_3
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