Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0673.33003
Dunster, T.M.
Uniform asymptotic expansions for Whittaker's confluent hypergeometric functions. (English)
[J] SIAM J. Math. Anal. 20, No.3, 744-760 (1989). ISSN 0036-1410; ISSN 1095-7154/e

Summary: The asymptotic behavior, as $\kappa$ $\to \infty$, of the Whittaker confluent hypergeometric functions $M\sb{\kappa,\mu}(z)$ and $W\sb{\kappa,\mu}(z)$ is examined. Asymptotic expansions are derived in terms of Bessel and Airy functions, the results being uniformly valid for real values of $\kappa$ and $\mu$ such that $0\le \mu /\kappa \le A<1$ (A an arbitrary constant), and for all complex values of the argument z. Explicit error bounds are available for all the approximations.

MSC 2000:: *33C05 Classical hypergeometric functions
34E05 Asymptotic expansions (ODE)

Keywords: Whittaker confluent hypergeometric functions; Asymptotic expansions

Cited in: Zbl 1209.33004

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]