Add to ORKGThis paper uses the Euler-Maclaurin formula for approximating a sum by an integral to prove that the limiting value of a certain expression related to the power sum is 1/(e-1)
In this chapter we extend the results formulated in Chap. 12 to order m, i.e., to functions of class...
The Euler–Maclaurin (EM) summation formula is used in many theoretical studies and numerical calcula...
Let νj denote a zero of the k-th partial sum of the Maclaurin series for e z. We find a sharper boun...
This paper uses the Euler-Maclaurin formula for approximating a sum by an integral to prove that the...
ABSTRACT: We study several possible generalizations of the Euler-Maclaurin formula, for several vari...
Graduation date: 1964The Euler-MacLaurin sum formula has appeared in the titles\ud of two quite rece...
In this article we introduce an elementary summation formula due to Euler that we call “Euler’s Litt...
Abstract: Relate the sum of powers of multiple primes to the sum of powers of natural numbers
The Euler-Maclaurin sum formula, which is formulated with respect to a function of one variable, is ...
In this paper we present a generalization of Faulhaber's formula to sums of arbitrary complex powers...
Let a< b be two integers and f: [ a, b] → ℝ a function. In Chap. 6 we saw how to calculate the sum ∑...
most elementary version Consider a discrete sum of the form Sm,n(f) = n∑ r=m f(r), (1) where f is a ...
In this paper, by using Euler-Maclaurin’s summation formula, we give a new improvement of Mathieu-Be...
In this chapter we extend the results formulated in Chap. 12 to order m, i.e., to functions of class...
The Euler–Maclaurin (EM) summation formula is used in many theoretical studies and numerical calcula...
Let νj denote a zero of the k-th partial sum of the Maclaurin series for e z. We find a sharper boun...
This paper uses the Euler-Maclaurin formula for approximating a sum by an integral to prove that the...
ABSTRACT: We study several possible generalizations of the Euler-Maclaurin formula, for several vari...
Graduation date: 1964The Euler-MacLaurin sum formula has appeared in the titles\ud of two quite rece...
In this article we introduce an elementary summation formula due to Euler that we call “Euler’s Litt...
Abstract: Relate the sum of powers of multiple primes to the sum of powers of natural numbers
The Euler-Maclaurin sum formula, which is formulated with respect to a function of one variable, is ...
In this paper we present a generalization of Faulhaber's formula to sums of arbitrary complex powers...
Let a< b be two integers and f: [ a, b] → ℝ a function. In Chap. 6 we saw how to calculate the sum ∑...
most elementary version Consider a discrete sum of the form Sm,n(f) = n∑ r=m f(r), (1) where f is a ...
In this paper, by using Euler-Maclaurin’s summation formula, we give a new improvement of Mathieu-Be...
In this chapter we extend the results formulated in Chap. 12 to order m, i.e., to functions of class...
The Euler–Maclaurin (EM) summation formula is used in many theoretical studies and numerical calcula...
Let νj denote a zero of the k-th partial sum of the Maclaurin series for e z. We find a sharper boun...