| dc.contributor.author | Iskander, Jonas | |
| dc.contributor.author | Jain, Vanshika | |
| dc.date.accessioned | 2021-09-20T17:17:14Z | |
| dc.date.available | 2021-09-20T17:17:14Z | |
| dc.date.issued | 2020-06-09 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/131479 | |
| dc.description.abstract | Abstract
We present a method for proving that Jensen polynomials associated with functions in the $$\delta $$δ-Laguerre-Pòlya class have all real roots, and demonstrate how it can be used to construct new functions belonging to the Laguerre–Pòlya class. As an application, we confirm a conjecture of Ono, which asserts that the Jensen polynomials associated with the first term of the Hardy–Ramanujan–Rademacher series formula for the partition function are always hyperbolic. | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s40993-020-00202-4 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer International Publishing | en_US |
| dc.title | Hyperbolicity of Appell polynomials of functions in the $$\delta $$δ-Laguerre–Pòya class | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Research in Number Theory. 2020 Jun 09;6(2):23 | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2020-09-24T21:18:38Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer Nature Switzerland AG | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2020-09-24T21:18:38Z | |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
