Abstract | ||
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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 |
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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 Rzadkowski | 1 | 5 | 2.40 |
RządkowskiGrzegorz | 2 | 1 | 0.41 |