Zobrazeno 1 - 10
of 1 573
pro vyhledávání: '"Bernoulli number"'
Autor:
Nadia N. Li, Wenchang Chu
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28170-28194 (2024)
By examining the connection coefficients, we systematically review and extend (with an extra integer parameter) several double sum expressions for the Bernoulli numbers. New summation formulae are also established explicitly.
Externí odkaz:
https://doaj.org/article/07915c7830c646c4a337994bb0b2eeb2
Autor:
Anthony Sofo
Publikováno v:
Cubo, Vol 26, Iss 1, Pp 75-89 (2024)
In this study we investigate a family of skew linear harmonic Euler sums involving some free parameters. Our analysis involves using the properties of the polylogarithm function, commonly referred to as the Bose-Einstein integral. A reciprocity prope
Externí odkaz:
https://doaj.org/article/e435ff8cc353498abc838b8f692fbd46
Publikováno v:
Electronic Research Archive, Vol 32, Iss 3, Pp 3130-3144 (2024)
In this paper, in view of a determinantal formula for higher order derivatives of the ratio of two differentiable functions, we expand the logarithm of the normalized tail of the power series expansion of the cosine function into a Maclaurin power se
Externí odkaz:
https://doaj.org/article/526fec28cba941df8e6b99b82318bfa8
Publikováno v:
Electronic Research Archive, Vol 32, Iss 1, Pp 224-240 (2024)
In the paper, the authors simply review recent results of inequalities, monotonicity, signs of determinants, determinantal formulas, closed-form expressions, and identities of the Bernoulli numbers and polynomials, establish an identity involving the
Externí odkaz:
https://doaj.org/article/9e1d2b1e61604334a31f81a9369da5c3
Publikováno v:
International Journal of Technology, Vol 14, Iss 5, Pp 1113-1122 (2023)
This article presents a study based on a series of numerical experiments. It demonstrates the possibility of reducing fluctuations in the calculation of reactivity using the second Bernoulli number based on the approximation of the Euler-Maclaurin
Externí odkaz:
https://doaj.org/article/f593814707114d14b809fe5f6bdc780f
Publikováno v:
Demonstratio Mathematica, Vol 55, Iss 1, Pp 822-830 (2022)
In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers
Externí odkaz:
https://doaj.org/article/1eaf334989764ace9a9c3c4d9b184d52
Akademický článek
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Akademický článek
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Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 544-559 (2022)
In this work, by the introduction of a new kernel function composed of exponent functions with several parameters, and using the method of weight coefficient, Hermite-Hadamard’s inequality, and some other techniques of real analysis, a more accurat
Externí odkaz:
https://doaj.org/article/faa0faa50ba74e9888055285414f4619