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Euler–Maclaurin formula

Known as: Euler - Maclaurin formula, Euler summation formula, Euler-MacLaurin formula 
In mathematics, the Euler–Maclaurin formula provides a powerful connection between integrals (see calculus) and sums. It can be used to approximate… Expand
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Papers overview

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Highly Cited
2018
Highly Cited
2018
We introduce a new family of deep neural network models. Instead of specifying a discrete sequence of hidden layers, we… Expand
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2016
2016
  • F. Dubeau
  • J. Comput. Appl. Math.
  • 2016
  • Corpus ID: 42151368
We use a simple approach to show that an Euler-Maclaurin like formula can be associated to any interpolatory quadrature rule… Expand
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Highly Cited
2010
Highly Cited
2010
In the present paper, we introduce and investigate two interesting subclasses of normalized analytic and univalent functions in… Expand
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2002
2002
In q-calculus, the Jackson formula (19.2) provides a way to compute explicitly a q-antiderivative of any function. Recall that… Expand
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2001
2001
The calculator is perfectly suited to brute force processes. Want to sum a few hundred terms of a series? The calculator can do… Expand
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Highly Cited
2000
Highly Cited
2000
Spectral functions relevant in the context of quantum field theory under the influence of spherically symmetric external… Expand
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Highly Cited
1997
Highly Cited
1997
  • H. Alzer
  • Math. Comput.
  • 1997
  • Corpus ID: 16808088
Let p ¬= 1 be a positive real number. We determine all real numbers α = α(p) and β = β(p) such that the inequalities formula math… Expand
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1997
1997
Using the distributional theory of asymptotic expansions, new Euler-Maclaurin type formulas for numerical quadratures based on… Expand
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Highly Cited
1995
Highly Cited
1995
Researchers in the fields of computer graphics and geographical information systems (GISs) have extensively studied the methods… Expand
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Highly Cited
1994
Highly Cited
1994
  • W. Pugh
  • PLDI '94
  • 1994
  • Corpus ID: 13486709
We describe methods that are able to count the number of integer solutions to selected free variables of a Presburger formula, or… Expand
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