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Abstract
In [Temme N.M., Special functions. An introduction to the classical functions
of mathematical physics, A WileyInterscience 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 language  English 

Article number  101 
Number of pages  5 
Journal  Symmetry, Integrability and Geometry : Methods and Applications 
Volume  12 
DOIs  
Publication status  Published  25 Oct 2016 
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Dive into the research topics of 'Uniform Asymptotic Expansion for the Incomplete Beta Function'. Together they form a unique fingerprint.Projects
 1 Finished

Rigorous and Presentable Asymptotics for Special Functions and Orthogonal Polynomials
1/09/15 → 31/08/20
Project: Research