Some characterizations of the Euler gamma function
نویسندگان
چکیده
منابع مشابه
On some expansions for the Euler Gamma function and the Riemann Zeta function
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 con...
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Let φ(·) denote the Euler function, and let a > 1 be a fixed integer. We study several divisibility conditions which exhibit typographical similarity with the standard formulation of the Euler theorem, such as an ≡ 1 (mod φ(n)), and we estimate the number of positive integers n ≤ x satisfying these conditions. 2000 Mathematics Subject Classification. 11A07, 11N37.
متن کاملOn the Distribution of Some Means concerning the Euler Function
which give the arithmetic and the geometric means of the first n values of the Euler function, respectively, are uniformly distributed modulo 1. A. Schinzel modified these questions by asking whether these sequences are dense modulo 1. This question was repeated at the meeting on Uniform Distribution in Luminy in January 2008. In this paper, we give an affirmative answer to Schinzel’s question....
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توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولSome inequalities for the gamma function
In this paper are established some inequalities involving the Euler gamma function. We use the ideas and methods that were used by J. Sándor in his paper [2].
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2015
ISSN: 0035-7596
DOI: 10.1216/rmj-2015-45-4-1225