Fourier series of higher-order Bernoulli functions and their applications

Author:

Kim Taekyun,Kim Dae San,Rim Seog-Hoon,Dolgy Dmitry V.

Funder

Russian Science Support Foundation

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference24 articles.

1. Abramowitz, M, Stegun, IA: Handbook of Mathematical Functions. Dover, New York (1970)

2. Berndt, BC: Periodic Bernoulli numbers, summation formulas and applications. In: Theory and Application of Special Functions (Proc. Advanced Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1975), pp. 143-189. Math. Res. Center, Univ. Wisconsin, Publ. No. 35, Academic Press, New York (1975)

3. Carlitz, L: A note on Bernoulli numbers and polynomials. Elem. Math. 29, 90-92 (1974)

4. Carlitz, L: Some unusual congruences for the Bernoulli and Genocchi numbers. Duke Math. J. 35, 563-566 (1968)

5. Chowla, S, Hartung, P: An “exact” formula for the m-th Bernoulli numbers. Acta Arith. 22, 113-115 (1972)

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