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Asymptotic expansions of the generalized Stirling approximations

โœ Scribed by Cristinel Mortici

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
191 KB
Volume
52
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

The aim of this paper is to construct the asymptotic expansions of a class of approximation formulas for the factorial function.

๐Ÿ“œ SIMILAR VOLUMES

The asymptotic series of the generalized
The asymptotic series of the generalized Stirling formula
โœ Cristinel Mortici ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 259 KB

The aim of this paper is to construct some asymptotic expansions which produce increasingly accurate approximations of the gamma function.

The Group of Generalized Stirling Number
The Group of Generalized Stirling Numbers
โœ Thomas Bickel ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 140 KB

In this paper we provide an algebraic approach to the generalized Stirling numbers (GSN). By defining a group that contains the GSN, we obtain a unified interpretation for important combinatorial functions like the binomials, Stirling numbers, Gaussian polynomials. In particular we show that many GS