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In this paper, we give some identities for the higher-order Euler functions arising from the Fourier series of them. In addition, we investigate some formulae related to Bernoulli functions which are derived from our identities.
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참고문헌 (20)
참고문헌 신청
M. Abramowitz / 1970 / Handbook of Mathematical Functions / Dover
E. M. Beesley / 1969 / An integral representation for the Euler numbers / Amer. Math. Monthly 76:389~391
L. Carlitz / 1963 / Some formulas for the Bernoulli and Euler polynomials / Math. Nachr. 25:223~231
L. Carlitz / 1953 / The multiplication formulas for the Bernoulli and Euler polynomials / Math. Mag. 27:59~64
J. Higgins / 1970 / Double series for the Bernoulli and Euler numbers / J. London Math. Soc. 2:722~726
E. M. Beesley / 1969 / An integral representation for the Euler numbers / Amer. Math. Monthly 76:389~391
L. Carlitz / 1963 / Some formulas for the Bernoulli and Euler polynomials / Math. Nachr. 25:223~231
L. Carlitz / 1953 / The multiplication formulas for the Bernoulli and Euler polynomials / Math. Mag. 27:59~64
J. Higgins / 1970 / Double series for the Bernoulli and Euler numbers / J. London Math. Soc. 2:722~726
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