Uniform Asymptotic Expansion for the Incomplete Beta Function

Gergo Nemes, Adri Olde Daalhuis

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageEnglish
Article number101
Number of pages5
JournalSymmetry, Integrability and Geometry : Methods and Applications
Volume12
DOIs
Publication statusPublished - 25 Oct 2016

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