On formulas of Ramanujan and Evans |
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| Authors: | Mourad E. H. Ismail |
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| Affiliation: | (1) Department of Mathematics, University of Central Florida, Orlando, Florida, 33218 |
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| Abstract: | We give short elementary proofs of a formula of Ramanujan as interpreted by Bradley, and a companion formula originally proved by W. Chu. We also give an elementary proof of a generalization of an identity originally proved using modular functions and used to study a generating function for the number of partitions with specified crank. Research partially supported by NSF grant DMS 99-70865. 2000 Mathematics Subject Classification Primary—39A70, 11P83; Secondary—33C20 |
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| Keywords: | Finite difference operators Summation theorems The Ramanujan-Bradley identity Partitions |
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