Gamma: Exploring Euler’s Constant
✍ Scribed by Julian Havil; Gerald L. Alexanderson
- Book ID
- 105676399
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- English
- Weight
- 363 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0343-6993
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Polynomial moments are often used for the computation of Gauss quadrature to stabilize the numerical calculation of the orthogonal polynomials, see [W.
We generalize Sondow's (ir)rationality criteria for Euler's constant and give necessary and sufficient conditions for irrationality of generalized Euler's constant g a ; as well as obtain new asymptotic formulas for computing g a : The proof is based on constructing linear forms in 1; g a and logari
a b s t r a c t Let γ = 0.577215 . . . be the Euler-Mascheroni constant, and let R n = n k=1 1 2 . This refines the result of D. W. DeTemple, who proved that the double inequality holds with a = 1 and b = 0.