Abstract–We explore the applications of the Euler–Maclaurin formula in analyzing functions expressed as infinite series and products. Three illustrative examples show the difficulties that may be encountered and the means by which these can be overcome
AbstractSums of the form ∑ν=1xf(ν) are defined traditionally only when the number of terms x is a po...
AbstractThe purpose of this work is to introduce new types of sequences, whose terms are infinite se...
AbstractThis paper contains a detailed discussion concerning the validity of ∫+∞0ø(x)⧸xxdx= ∑+∞k=−∞ø...
Following on from our recent investigation of series and products using the Euler–Maclaurin formula,...
In this note we give a real variable approach for calculating the constant term that arises in the a...
AbstractWallis's method of interpolation attracted the attention of the young Euler, who obtained so...
summary:An infinite series which arises in certain applications of the Lagrange-Bürmann formula to e...
The Euler-Maclaurin summation formula for the approximate evaluation of I = \int01f(x) dx comprise...
AbstractIn the present paper, we use a generalization of the Euler–Maclaurin summation formula for i...
AbstractWe present results for some infinite series appearing in Feynman diagram calculations, many ...
While a different topic was investigated, it became necessary to know asymptotic values of products ...
Graduation date: 1964The Euler-MacLaurin sum formula has appeared in the titles\ud of two quite rece...
In this chapter we extend the results formulated in Chap. 12 to order m, i.e., to functions of class...
I present and discuss an extremely simple algorithm for expanding a formal power series as a continu...
AbstractClosed expressions are obtained for sums of products of Kronecker's double series of the for...
AbstractSums of the form ∑ν=1xf(ν) are defined traditionally only when the number of terms x is a po...
AbstractThe purpose of this work is to introduce new types of sequences, whose terms are infinite se...
AbstractThis paper contains a detailed discussion concerning the validity of ∫+∞0ø(x)⧸xxdx= ∑+∞k=−∞ø...
Following on from our recent investigation of series and products using the Euler–Maclaurin formula,...
In this note we give a real variable approach for calculating the constant term that arises in the a...
AbstractWallis's method of interpolation attracted the attention of the young Euler, who obtained so...
summary:An infinite series which arises in certain applications of the Lagrange-Bürmann formula to e...
The Euler-Maclaurin summation formula for the approximate evaluation of I = \int01f(x) dx comprise...
AbstractIn the present paper, we use a generalization of the Euler–Maclaurin summation formula for i...
AbstractWe present results for some infinite series appearing in Feynman diagram calculations, many ...
While a different topic was investigated, it became necessary to know asymptotic values of products ...
Graduation date: 1964The Euler-MacLaurin sum formula has appeared in the titles\ud of two quite rece...
In this chapter we extend the results formulated in Chap. 12 to order m, i.e., to functions of class...
I present and discuss an extremely simple algorithm for expanding a formal power series as a continu...
AbstractClosed expressions are obtained for sums of products of Kronecker's double series of the for...
AbstractSums of the form ∑ν=1xf(ν) are defined traditionally only when the number of terms x is a po...
AbstractThe purpose of this work is to introduce new types of sequences, whose terms are infinite se...
AbstractThis paper contains a detailed discussion concerning the validity of ∫+∞0ø(x)⧸xxdx= ∑+∞k=−∞ø...
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