Bernoulli and Euler numbers and polynomials
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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: 24.21 Software
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§24.21(ii) , , , and
…3: 24.14 Sums
§24.14 Sums
►§24.14(i) Quadratic Recurrence Relations
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24.14.4
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►For other sums involving Bernoulli and Euler numbers and polynomials see Hansen (1975, pp. 331–347) and Prudnikov et al. (1990, pp. 383–386).
4: 24.6 Explicit Formulas
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24.6.6
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5: 24.5 Recurrence Relations
§24.5 Recurrence Relations
…6: 24.2 Definitions and Generating Functions
§24.2 Definitions and Generating Functions
►§24.2(i) Bernoulli Numbers and Polynomials
… ►§24.2(ii) Euler Numbers and Polynomials
… ►§24.2(iii) Periodic Bernoulli and Euler Functions
… ► …7: 24.9 Inequalities
§24.9 Inequalities
…8: 24.11 Asymptotic Approximations
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24.11.4
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9: 17.3 -Elementary and -Special Functions
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