On some expansions for the Euler Gamma function and the Riemann Zeta function
نویسنده
چکیده
Abstract 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 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. 2010 Mathematics Subject Classification: 11B83, 11M06 .
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عنوان ژورنال:
- J. Computational Applied Mathematics
دوره 236 شماره
صفحات -
تاریخ انتشار 2012