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Tribasic integrals and identities of Rogers-Ramanujan type |
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| Authors: | M. E. H. Ismail D. Stanton |
| Affiliation: | Department of Mathematics, University of Central Florida, Orlando, Florida 32816 D. Stanton ; School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455 |
| Abstract: | Some integrals involving three bases are evaluated as infinite products using complex analysis. Many special cases of these integrals may be evaluated in another way to find infinite sum representations for these infinite products. The resulting identities are identities of Rogers-Ramanujan type. Some integer partition interpretations of these identities are given. Generalizations of the Rogers-Ramanujan type identities involving polynomials are given again as corollaries of integral evaluations. |
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