Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Uniform Asymptotic Expansion for the Incomplete Beta Function
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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| dc.contributor.author | Nemes, G. | |
| dc.contributor.author | Olde Daalhuis, A.B. | |
| dc.date.accessioned | 2019-02-16T16:26:10Z | |
| dc.date.available | 2019-02-16T16:26:10Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Uniform Asymptotic Expansion for the Incomplete Beta Function / G. Nemes, A.B. Olde Daalhuis // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 4 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 41A60; 33B20 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.101 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/148002 | |
| dc.description.abstract | In [Temme N.M., Special functions. An introduction to the classical functions of mathematical physics, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1996, Section 11.3.3.1] a uniform asymptotic expansion for the incomplete beta function was derived. It was not obvious from those results that the expansion is actually an asymptotic expansion. We derive a remainder estimate that clearly shows that the result indeed has an asymptotic property, and we also give a recurrence relation for the coefficients. | uk_UA |
| dc.description.sponsorship | This research was supported by a research grant (GRANT11863412/70NANB15H221) from the National Institute of Standards and Technology. The authors thank the anonymous referees for their helpful comments and suggestions on the manuscript. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Uniform Asymptotic Expansion for the Incomplete Beta Function | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
