Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0928.34039
Olde Daalhuis, A.B.
On the resurgence properties of the uniform asymptotic expansion of the incomplete gamma function. (English)
[J] Methods Appl. Anal. 5, No.4, 425-438 (1998). ISSN 1073-2772

Summary: The author examines the resurgence properties of the coefficients $c_r(\eta)$ appearing in a uniform asymptotic expansion of the incomplete gamma function. For the coefficients $c_r(\eta)$, he gives an asymptotic approximation as $r\to\infty$ that is a sum of two incomplete beta functions plus a simple asymptotic series in which the coefficients are again $c_m(\eta)$.\par The method is based on the Borel-Laplace transform, which means that next to the asymptotic approximation of $c_r(\eta)$, one obtains an exponentially-improved asymptotic expansion for the incomplete gamma function.

MSC 2000:: *34E05 Asymptotic expansions (ODE)
33B20 Incomplete beta and gamma functions

Keywords: incomplete gamma function; Borel-Laplace transform

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]