Uniform Asymptotic Expansion for the Incomplete Beta Function
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Uniform Asymptotic Expansion for the Incomplete Beta Function
|
|
| Creator |
Nemes, G.
Olde Daalhuis, A.B. |
|
| Description |
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.
|
|
| Date |
2019-02-16T16:26:10Z
2019-02-16T16:26:10Z 2016 |
|
| Type |
Article
|
|
| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 41A60; 33B20 DOI:10.3842/SIGMA.2016.101 http://dspace.nbuv.gov.ua/handle/123456789/148002 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|