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FOURIER SERIES OF SUMS OF PRODUCTS OF HIGHER-ORDER GENOCCHI FUNCTIONS

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In this paper, we study three types of functions given by sums of products of higher-order Genocchi functions and derive their Fourier series expansions. Moreover, we express each of them in terms of Bernoulli functions from which the corresponding polynomial identities follow immediately.

Abstract

In this paper, we study three types of functions given by sums of products of higher-order Genocchi functions and derive their Fourier series expansions. Moreover, we express each of them in terms of Bernoulli functions from which the corresponding polynomial identities follow immediately.

참고문헌 (21)

  1. M. Abramowitz, "Handbook of Mathematical Functions" (1970), Dover
  2. R. P. Agarwal, "Sums of finite products of Bernoulli functions", Adv. Diff. Equ., 2017, pp.237~ (2017)[DOI]
  3. Serkan Araci, "A unified generating function of the q-genocchi polynomials with their interpolation functions", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(2), pp.227~233 (2012), 장전수학회[DOI]
  4. ABDELMEJID BAYAD, "SPECIAL VALUES OF LERCH ZETA FUNCTION AND THEIR FOURIER EXPANSIONS", Advanced Studies in Contemporary Mathematics, 21(1), pp.1~4 (2011), 장전수학회
  5. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  6. C. Faber, "Hodge integrals and Gromov-Witten theory", Invent. Math., 139(1), pp.173~199 (2000)[DOI]
  7. S. Gaboury, "Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(1), pp.115~123 (2014), 장전수학회
  8. Guven, "Approximation by Means of Fourier Trigonometric Series in Weighted Orlicz Spaces", Advanced Studies in Contemporary Mathematics, 19(2), pp.283~295 (2009), 장전수학회
  9. 장관우, "FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 27(1), pp.49~62 (2017), 장전수학회[DOI]
  10. 김대산, "A GENERALIZATION OF SYMMETRIC PROPERTY BEYOND APPELL POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(2), pp.145~152 (2017), 장전수학회[DOI]
  11. T. Kim, "On the multiple q-Genocchi and Euler numbers", Russ. J. Math. Phys., 15(4), pp.481~485 (2008)[DOI]
  12. T. Kim, "Euler numbers and polynomials associated with zeta functions", Abstr. Appl. Anal. (2008)
  13. 김태균, "A note on the values of Euler zeta functions at positive integers", Advanced Studies in Contemporary Mathematics, 22(1), pp.27~34 (2012), 장전수학회
  14. T. Kim, "Fourier series of sums of products of Bernoulli functions and their applications", J. Non linear Sci. Appl., 10, pp.2798~2815 (2017)[DOI]
  15. BURAK KURT, "On the Hermite based Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 23(1), pp.13~17 (2013), 장전수학회
  16. J. E. Marsden, "Elementary Classical Analysis" (1974), W. H. Freeman and Company
  17. H. Miki, "A relation between Bernoulli numbers", J. Number Theory, 10(3), pp.297~302 (1978)[DOI]
  18. 임석훈, "ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH q-ZETA FUNCTION", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 12(3), pp.261~267 (2009), 장전수학회
  19. 유천성, "On the structure of the zeroes of the twisted (h,q)-Genocchi polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(3), pp.283~291 (2012), 장전수학회[DOI]
  20. YILMAZ SIMSEK, "IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 27(2), pp.199~212 (2017), 장전수학회[DOI]
  21. D. G. Zill, "Advanced Engineering Mathematics" (2006), Jones and Bartlett Publishers

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