Grzegorz Rzadkowski
Published 2010-07-12, updated 2013-02-13Version 2
In the present paper we introduce some expansions, based on the falling factorials, for the Euler Gamma function and the Riemann Zeta function. In the proofs we use the Fa\'a 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.
Comments: Published article
Journal: Grzegorz Rzadkowski, On some expansions for the Euler Gamma function and the Riemann Zeta function, J. Comp. Appl. Math. 236 (2012) pp. 3710-3719
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