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Table of Integrals, Series and Products, Corrected and Enlarged Edition

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The article was published on 1980-01-01 and is currently open access. It has received 832 citations till now. The article focuses on the topics: Series (mathematics).

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The Ensemble Kalman Filter: theoretical formulation and practical implementation

TL;DR: A fairly extensive discussion is devoted to the use of time correlated model errors and the estimation of model bias, and an ensemble based optimal interpolation scheme is presented as a cost-effective approach which may serve as an alternative to the EnKF in some applications.

The Ensemble Kalman Filter: Theoretical formulation and practical implementation

TL;DR: The EnKF has a large user group, and numerous publications have discussed applications and theoretical aspects of it as mentioned in this paper, and also presents new ideas and alternative interpretations which further explain the success of the EnkF.
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The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

TL;DR: The Askey-scheme of hypergeometric orthogonal polynomials was introduced in this paper, where the q-analogues of the polynomial classes in the Askey scheme are given.
Journal ArticleDOI

Review of mathematics, numerical factors, and corrections for dark matter experiments based on elastic nuclear recoil

TL;DR: In this article, the authors present a systematic derivation and discussion of the practical formulae needed to design and interpret direct searches for nuclear recoil events caused by hypothetical weakly interacting dark matter particles.
Journal ArticleDOI

Option Pricing when the Variance Changes Randomly: Theory, Estimation, and an Application

TL;DR: In this article, the authors examined the pricing of European call options on stocks that have vari? ance rates that change randomly, and they found that one must use the stock and two options to form a riskless hedge.