Some more identities of the Rogers-Ramanujan type |
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| Authors: | Douglas Bowman James Mc Laughlin Andrew V Sills |
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| Institution: | (1) Northern Illinois University, Mathematical Sciences, DeKalb, IL 60115-2888, USA;(2) Mathematics Department, Anderson Hall, West Chester University, West Chester, PA 19383, USA;(3) Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460-8093, USA |
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| Abstract: | In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result
of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem
of Watson on basic hypergeometric series, generating functions and miscellaneous methods.
The research of the first author was partially supported by National Science Foundation grant DMS-0300126. |
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| Keywords: | q-series Rogers-Ramanujan identities Slater’ s identities |
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