Title
On some expansions for the Euler Gamma function and the Riemann Zeta function
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 Faa 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.
Year
DOI
Venue
2012
10.1016/j.cam.2011.08.020
J. Computational Applied Mathematics
Keywords
DocType
Volume
mittag-leffler polynomial,euler gamma function,eulerian number,potential polynomial,riemann zeta function,numerical example,derivative polynomial,stirling number,bell polynomial,bruno formula,bell polynomials
Journal
236
Issue
ISSN
Citations 
15
Grzegorz Rzadkowski, On some expansions for the Euler Gamma function and the Riemann Zeta function, J. Comp. Appl. Math. 236 (2012) pp. 3710-3719
1
PageRank 
References 
Authors
0.41
1
2
Name
Order
Citations
PageRank
Grzegorz Rzadkowski152.40
RządkowskiGrzegorz210.41