Euler polynomials
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21—30 of 128 matching pages
21: 18.37 Classical OP’s in Two or More Variables
22: Software Index
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24 Bernoulli and Euler Polynomials | |||||||||||||||||||||||||
24.21(ii) , , , | ✓ | ✓ | ✓ | ✓ | a | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | Derive, MuPAD | ||||||||||||
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23: 17.3 -Elementary and -Special Functions
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§17.3(iii) Bernoulli Polynomials; Euler and Stirling Numbers
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17.3.8
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►The are always polynomials in , and the are polynomials in for .
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24: 31.16 Mathematical Applications
25: 18.2 General Orthogonal Polynomials
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►The Bernoulli polynomials
and Euler polynomials
are examples of Sheffer polynomials which are not OP’s, see the generating functions (24.2.3) and (24.2.8).
For other examples of Sheffer polynomials, not in DLMF, see Roman (1984).
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26: Bibliography H
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An Euler-Maclaurin-type formula involving conjugate Bernoulli polynomials and an application to
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Commun. Appl. Anal. 1 (1), pp. 15–32.
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A Boole-type Formula involving Conjugate Euler Polynomials.
In Charlemagne and his Heritage. 1200 Years of Civilization and
Science in Europe, Vol. 2 (Aachen, 1995), P.L. Butzer, H. Th. Jongen, and W. Oberschelp (Eds.),
pp. 361–375.
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Roots of the Euler polynomials.
Pacific J. Math. 64 (1), pp. 181–191.
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27: Bibliography L
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Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials.
J. Math. Anal. Appl. 239 (2), pp. 457–477.
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Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions.
Stud. Appl. Math. 103 (3), pp. 241–258.
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Large degree asymptotics of generalized Bernoulli and Euler polynomials.
J. Math. Anal. Appl. 363 (1), pp. 197–208.
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28: Bibliography D
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On the real roots of Euler polynomials.
Monatsh. Math. 106 (2), pp. 115–138.
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Asymptotic behaviour of Bernoulli, Euler, and generalized Bernoulli polynomials.
J. Approx. Theory 49 (4), pp. 321–330.
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Zeros of Bernoulli, generalized Bernoulli and Euler polynomials.
Mem. Amer. Math. Soc. 73 (386), pp. iv+94.
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29: Bibliography T
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Explicit formulas for the Bernoulli and Euler polynomials and numbers.
Abh. Math. Sem. Univ. Hamburg 61, pp. 175–180.
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