des constantes de Stieltjes". Expositiones Mathematicae. 17: 349–358. Coffey, Mark W. (2009). "Series representations for the Stieltjes constants". arXiv:0905...
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Thomas Stieltjes Institute for Mathematics at Leiden University, dissolved in 2011, was named after him, as is the Riemann–Stieltjes integral. Stieltjes was...
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expansion for the Riemann zeta function*, where it is the first of the Stieltjes constants* Calculations of the digamma function A product formula for the gamma...
56 KB (8,203 words) - 05:47, 15 October 2024
In mathematics, Apéry's constant is the sum of the reciprocals of the positive cubes. That is, it is defined as the number ζ ( 3 ) = ∑ n = 1 ∞ 1 n 3 =...
24 KB (3,010 words) - 13:30, 5 October 2024
Stanislav Smirnov (2011). The connective constant of the honeycomb lattice √ (2 + √ 2) (PDF). Université de Geneve. Richard J. Mathar (2013). "Circumscribed...
96 KB (3,550 words) - 05:47, 12 October 2024
Charles Hermite (category Members of the Ligue de la patrie française)
Hermite; letter to Thomas Joannes Stieltjes about Weierstrass functions, Correspondance d'Hermite et de Stieltjes vol.2, p.317-319 In addition to the...
13 KB (1,426 words) - 09:00, 13 September 2024
Laplace transform (category CS1 German-language sources (de))
{\pi }{2}}.} The (unilateral) Laplace–Stieltjes transform of a function g : ℝ → ℝ is defined by the Lebesgue–Stieltjes integral { L ∗ g } ( s ) = ∫ 0 ∞ e...
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and related branches of mathematics, the Lebesgue–Stieltjes integral generalizes Riemann–Stieltjes and Lebesgue integration, preserving the many advantages...
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Fourier transform (section Fourier–Stieltjes transform)
Fourier–Stieltjes transform of its distribution measure, but in this context it is typical to take a different convention for the constants. Typically...
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defined simultaneously, and the integral is taken in the sense of Lebesgue-Stieltjes. As a consequence of integration by parts as applied to this representation...
52 KB (7,614 words) - 02:30, 29 September 2024