Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1072.39009
Olde Daalhuis, A.B.
Inverse factorial-series solutions of difference equations. (English)
[J] Proc. Edinb. Math. Soc., II. Ser. 47, No. 2, 421-448 (2004). ISSN 0013-0915; ISSN 1464-3839/e

The author studies the solutions of the second-order linear difference equation $w(z+2)+f(z)\, w(z+1)+g(z) \, w(z)=0$, where $f(z)/z$ and $g(z)/z^2$ are analytic for $\vert z\vert \ge A>2$. He obtains inverse factorial-series solutions and show that the Borel plane of these series is relatively simple. The given results are illustrated with some examples.
[Alberto Cabada (Santiago de Compostela)]

MSC 2000:: *39A11 Stability of difference equations
33C05 Classical hypergeometric functions

Keywords: asymptotic expansions; Borel transform; exponentially improved asymptotics; factorial series; hypergeometric functions; second-order linear difference equation

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