Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1019.33003
Temme, Nico M.
Large parameter cases of the Gauss hypergeometric function. (English)
[J] J. Comput. Appl. Math. 153, No.1-2, 441-462 (2003). ISSN 0377-0427

The author considers the asymptotic behavior of the Gauss hypergeometric function with several of the parameters $a,b,c$ are large. The author indicates which cases are already available and which cases need more attention. There are also a few examples of $_2F_3$ functions of unit argument, to explain which difficulties arise in these cases when standard integrals or differential equations are not available.
[Francisco Perez Acosta (La Laguna)]

MSC 2000:: *33C05 Classical hypergeometric functions
33C45 Orthogonal polynomials and functions of hypergeometric type
41A60 Asymptotic problems in approximation
30C15 Zeros of polynomials, etc. (one complex variable)
41A10 Approximation by polynomials

Keywords: asymptotic expansion; Gauss hypergeometric function

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]