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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: Customize DLMF
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Browsers supporting MathML
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5: Bibliography K
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Poly-Bernoulli numbers.
J. Théor. Nombres Bordeaux 9 (1), pp. 221–228.
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The congruences of Clausen-von Staudt and Kummer for Bernoulli-Hurwitz numbers.
Math. Ann. 216 (1), pp. 1–4.
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On formulas involving both the Bernoulli and Fibonacci numbers.
Scripta Math. 23, pp. 27–35.
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Remark on -adic -Bernoulli numbers.
Adv. Stud. Contemp. Math. (Pusan) 1, pp. 127–136.
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The Korteweg-de Vries Equation and Related Evolution Equations.
In Nonlinear Wave Motion (Proc. AMS-SIAM Summer Sem., Clarkson
Coll. Tech., Potsdam, N.Y., 1972), A. C. Newell (Ed.),
Lectures in Appl. Math., Vol. 15, pp. 61–83.
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6: Browsers
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7: DLMF Project News
error generating summary8: Bibliography R
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Topics in Analytic Number Theory.
Springer-Verlag, New York.
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Some properties of Bernoulli’s numbers (J. Indian Math. Soc. 3 (1911), 219–234.).
In Collected Papers,
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Mathieu functions of integral orders and real arguments.
IEEE Trans. Microwave Theory Tech. 28 (3), pp. 276–277.
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Diffraction of plane radio waves by a parabolic cylinder. Calculation of shadows behind hills.
Bell System Tech. J. 33, pp. 417–504.
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Elementary Number Theory and its Applications.
5th edition, Addison-Wesley, Reading, MA.
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9: Bibliography L
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An asymptotic estimate for the Bernoulli and Euler numbers.
Canad. Math. Bull. 20 (1), pp. 109–111.
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Guide to Tables in the Theory of Numbers.
Bulletin of the National Research Council, No. 105, National Research Council, Washington, D.C..
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List of Prime Numbers from 1 to 10,006,721.
Publ. No. 165, Carnegie Institution of Washington, Washington, D.C..
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On the function
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J. Math. Phys. Mass. Inst. Tech. 21, pp. 264–283.
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Highly accurate tables for elementary functions.
BIT 35 (3), pp. 352–360.
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10: 35 Functions of Matrix Argument
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