Generalizations of two identities of Guo and Yang |
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Authors: | Mircea Merca |
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Institution: | 1. Academy of Romanian Scientists, Splaiul Independentei 54, Bucharest 050094, Romaniamircea.merca@profinfo.edu.ro |
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Abstract: | In this paper, we provide generalizations of two identities of Guo and Yang 2] for the q-binomial coe?cients. This approach allows us to derive new convolution identities for the complete and elementary symmetric functions. New identities involving q-binomial coe?cients are obtained as very special cases of these results. A new relationship between restricted partitions and restricted partitions into parts of two kinds is derived in this context. |
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Keywords: | 05E05 05A10 05A19 95A30 11B65 |
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