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FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALS

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초록

We study the Fourier series of functions related to Bernoulli polynomials. As consequences, several new identities for the Bernoulli functions and numbers are derived.

Abstract

We study the Fourier series of functions related to Bernoulli polynomials. As consequences, several new identities for the Bernoulli functions and numbers are derived.

참고문헌 (16)

  1. A. Bayad, "Higher recurrences for Apostol-Bernoulli-Euler numbers", Russ. J. Math. Phys, 19(1), pp.1~10 (2012)
  2. G. M. Dzafarli, "Fourier series for functions of the space Lq in terms of a multiplicative system of functions (Russian)", Azerbaidzan. Gos. Univ. Ucen. Zap. Ser. Fiz.-Mat. i Him. Nauk, (4), pp.11~16 (1964)
  3. Dan Ding, "Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.7~21 (2010), 장전수학회
  4. L. C. Jang, "A note on the Fourier transform of fermionic p-adic integral on Zp", J. Comput. Anal. Appl, 11(3), pp.571~575 (2009)
  5. D.S. Kim, "A note on higher-order Bernoulli polynomials", J. Inequal. Appl, pp.111~ (2013)
  6. D.S. Kim, "Some new identities on the Bernoulli and Euler numbers", Discrete Dyn. Nat. Soc (2011)
  7. 김대산, "Some arithmetic properties of Bernoulli and Euler numbers", Advanced Studies in Contemporary Mathematics, 22(4), pp.467~480 (2012), 장전수학회
  8. T. Kim, "A note on the Fourier transform of p-adic q-integrals on Zp", J. Comput. Anal. Appl, 11(1), pp.81~85 (2009)
  9. 김태균, "SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(1), pp.23~28 (2010), 장전수학회
  10. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys, 15(1), pp.51~57 (2008)
  11. T. Kim, "Bernoulli polynomials of the second kind and their identities arising from umbral calculus", J. Nonlinear Sci. Appl, 9(3), pp.860~869 (2016)
  12. T. Kim, "Symmetric identities for degenerate generalized Bernoulli polynomials", J. Nonlinear Sci. Appl, 9(2), pp.677~683 (2016)
  13. K. Shiratani, "On some relations between Bernoulli numbers and class numbers of cyclotomic elds", em. Fac. Sci. Kyushu Univ. Ser. A, 18, pp.127~135 (1964)
  14. C. Watari, "Multipliers for Walsh-Fourier series", T^ohoku Math. J, 2(16), pp.239~251 (1964)
  15. B.H. Yadav, "Absolute convergence of Fourier series", Ph.D, pp.1964
  16. D.G. Zill, "Advanced Engineering Mathematics" (2006), Jones and Bartlett Publishers

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