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1: 24.1 Special Notation
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Bernoulli Numbers and Polynomials
►The origin of the notation , , is not clear. … ►Euler Numbers and Polynomials
… ►Its coefficients were first studied in Euler (1755); they were called Euler numbers by Raabe in 1851. The notations , , as defined in §24.2(ii), were used in Lucas (1891) and Nörlund (1924). …2: 3.6 Linear Difference Equations
3: DLMF Project News
error generating summary4: Bibliography C
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Work Group of Computational Mathematics, University of Kassel, Germany.
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Some congruences for the Bernoulli numbers.
Amer. J. Math. 75 (1), pp. 163–172.
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-Bernoulli and Eulerian numbers.
Trans. Amer. Math. Soc. 76 (2), pp. 332–350.
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A note on Euler numbers and polynomials.
Nagoya Math. J. 7, pp. 35–43.
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A Unified Approach to Recurrence Algorithms.
In Approximation and Computation (West Lafayette, IN, 1993), R. V. M. Zahar (Ed.),
International Series of Computational Mathematics, Vol. 119, pp. 97–120.
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5: 10.74 Methods of Computation
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►In other circumstances the power series are prone to slow convergence and heavy numerical cancellation.
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6: Customize DLMF
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You can customize the appearance and functionality of the DLMF site using these selections. Note: Javascript and Cookies must be enabled to support customizations.7: About MathML
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8: Browsers
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9: Viewing DLMF Interactive 3D Graphics
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10: Ronald F. Boisvert
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►His research interests include numerical solution of partial differential equations, mathematical software, and information services that support computational science.
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►Department of Commerce Gold Medal for Distinguished Achievement in the Federal Service in 2011, and an Outstanding Alumni Award from the Purdue University Department of Computer Science in 2012.
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