Results 11 to 20 of about 6,695 (326)
Euler?s Exponential Formula for Semigroups [PDF]
Semigroup Forum, 2004 In this paper, the author presents several generalizations of Euler's exponential formula for some semigroups, which are not \(C_0\)-semigroups.
Cachia, Vincent
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Analogues of Euler and Poisson summation formulae [PDF]
Proceedings Mathematical Sciences, 2003 Euler--Maclaurin and Poisson analogues of the summations $\sum_{a < n \leq b} (n) f(n)$, $\sum_{a < n \leq b} d(n) f(n)$, $\sum_{a < n \leq b} d(n) (n) f(n)$ have been obtained in a unified manner, where $( (n))$ is a periodic complex sequence; $d(n)$ is the divisor function and $f(x)$ is a sufficiently smooth function on $[a,b]$. We also
Rane, Vivek V
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A note on a curious formula for Euler's constant [PDF]
, 2007 In this short note we will use the residue theorem to establish a formula for Euler's constant. In particular, we offer a slightly generalized version of an interesting infinite series due to Flajolet, Gourdon, and Dumas.Comment: 4 ...
Mathew D. Rogers
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A
, 2005 The double zeta function was first studied by Euler in response to a letter from Goldbach in 1742. One of Euler's results for this function is a decomposition formula, which expresses the product of two values of the Riemann zeta function as a finite sum
David M. Bradley
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An elementary proof of Euler's formula using Cauchy's method
, 2021 The use of Cauchy's method to prove Euler's well-known formula is an object of many controversies. The purpose of this paper is to prove that Cauchy's method applies for convex polyhedra and not only for them, but also for surfaces such as the torus, the
Jean‐Paul Brasselet +1 more
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K-regular decomposable incidence structure of maximum degree [PDF]
Mathematica Moravica, 2023 This paper discusses incidence structures and their rank. The aim of this paper is to prove that there exists a regular decomposable incidence structure J = (P, B) of maximum degree depending on the size of the set and a predetermined rank.
Stošović Dejan +2 more
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Mathematical Inequalities & Applications, 2004 A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or R-integrable functions, is proved by applying the Euler-Boole formulae.
Ana Vukelić +2 more
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On Euler midpoint formulae [PDF]
The ANZIAM Journal, 2005 AbstractModified versions of the Euler midpoint formula are given for functions whose derivatives are either functions of bounded variation, Lipschitzian functions or functions in Lp-spaces. The results are applied to quadrature formulae.
Marko Matić, Lj. Dedić, Josep Pecaric
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Some Numerical Significance of the Riemann Zeta Function
Recent Advances in Natural Sciences, 2023 In this paper, the Riemann analytic continuation formula (RACF) is derived from Euler’s quadratic equation. A nonlinear function and a polynomial function that were required in the derivation were also obtained.
Opeyemi O. Enoch, Lukman O. Salaudeen
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The completion of Euler's factoring formula
Rocky Mountain Journal of Mathematics, 2013 Richard Blecksmith +2 more
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