Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423023 | Journal of Computational and Applied Mathematics | 2012 | 10 Pages |
Abstract
In the present paper we introduce some expansions which use the falling factorials for the Euler Gamma function and the Riemann Zeta function. In the proofs we use the Faá di Bruno formula, Bell polynomials, potential polynomials, Mittag-Leffler polynomials, derivative polynomials and special numbers (Eulerian numbers and Stirling numbers of both kinds). We investigate the rate of convergence of the series and give some numerical examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Grzegorz Rza̧dkowski,