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SUMS OF PRODUCTS OF TWO VARIABLE HIGHER-ORDER FUBINI FUNCTIONS ARISING FROM FOURIER SERIES

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In this paper, we study three types of sums of products of two variable higher-order Fubini functions and derive their Fourier series expansions. Furthermore, we express each of them in terms of Bernoulli functions from which the corresponding polynomial identities easily follow.

Abstract

In this paper, we study three types of sums of products of two variable higher-order Fubini functions and derive their Fourier series expansions. Furthermore, we express each of them in terms of Bernoulli functions from which the corresponding polynomial identities easily follow.

참고문헌 (14)

  1. G.V. Dunne, "Bernoulli number identities from quantum field theory and topological string theory", Commun. Number Theory Phys., 7(2), pp.225~249 (2013)[DOI]
  2. C. Faber, "Hodge integrals and Gromov-Witten theory", Invent. Math., 139(1), pp.173~199 (2000)[DOI]
  3. 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
  4. 장관우, "SOME IDENTITIES OF FUBINI POLYNOMIALS ARISING FROM DIFFERENTIAL EQUATIONS", Advanced Studies in Contemporary Mathematics, 28(1), pp.149~160 (2018), 장전수학회[DOI]
  5. 김택연, "SOME FORMULAS OF ORDERED BELL NUMBERS AND POLYNOMIALS ARISING FROM UMBRAL CALCULUS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(4), pp.659~670 (2017), 장전수학회[DOI]
  6. 김대산, "TWO VARIABLE HIGHER-ORDER DEGENERATE FUBINI POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(1), pp.5~22 (2018), 장전수학회[DOI]
  7. D. S. Kim, "Identities arising from higher-order Daehee polynomial bassis", Open Math., 13, pp.196~208 (2005)
  8. D. S. Kim, "Two Variable higher-order Fubini polynomials", J. Korean Math. Soc.
  9. 김택연, "A NOTE ON DEGENERATE FUBINI POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(4), pp.521~531 (2017), 장전수학회[DOI]
  10. T. Kim, "Fourier series of functions related to ordered Bell polynomials", Utilitas Math., 104, pp.67~81 (2017)
  11. T. Kim, "Fourier series of sums of products of Bernoulli functions and their applications", J. Nonlinear Sci. Appl., 10, pp.2798~2815 (2017)[DOI]
  12. J. E. Marsden, "Elementary classical analysis" (1974), W. H. Freeman and Company
  13. 김대산, "FOURIER SERIES OF SUMS OF PRODUCTS OF HIGHER-ORDER GENOCCHI FUNCTIONS", Advanced Studies in Contemporary Mathematics, 28(2), pp.215~230 (2018), 장전수학회[DOI]
  14. K. Shiratani. S. Yokoyama, "An application of p-adic convolutions", Mem. Fac. Sci. Kyushu Univ. Ser. A, 36(1), pp.73~83 (1982)

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