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LATTICE-POINT SUMMATION FORMULAE
The Quarterly Journal of Mathematics, 1931En appliquant la fonction de \( x \) \[ \begin{array}{c} \frac{1}{\Gamma(\alpha)} \sum_ ...
Dixon, A. L., Ferrar, W. L.
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Best Summation Formulae and Discrete Splines
SIAM Journal on Numerical Analysis, 1973The problem of obtaining a best summation formula for a finite sequence of real numbers in terms of a fixed number of terms of the sequence is reduced to a solvable linear or quadratic programming problem. This is done by developing the appropriate discrete Taylor and Peano theorems.
Mangasarian, O. L., Schumaker, L. L.
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The American Mathematical Monthly, 1936
(1936). An Euler Summation Formula. The American Mathematical Monthly: Vol. 43, No. 1, pp. 9-21.
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(1936). An Euler Summation Formula. The American Mathematical Monthly: Vol. 43, No. 1, pp. 9-21.
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Moscow University Mathematics Bulletin, 2011
An analogue of Euler’s summation formula over integer points of an arbitrary interval is obtained in the paper.
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An analogue of Euler’s summation formula over integer points of an arbitrary interval is obtained in the paper.
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On some new Gaussian hypergeometric summation formulae with applications
Quaestiones Mathematicae, 2021Tibor K Pogány, Arjun K Rathie
exaly
ON THE SUMMATION FORMULAE OF VORONOÏ AND POISSON
The Quarterly Journal of Mathematics, 1937Dixon, A. L., Ferrar, W. L.
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