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FOURIER SERIES OF FUNCTIONS RELATED TO TWO VARIABLE HIGHER-ORDER FUBINI POLYNOMIALS

김태균|Dmitry V. Dolgy|권종겸|김대산|장관우
장전수학회 (Jangjeon Mathematical Society)|2018.10|Advanced Studies in Contemporary Mathematics|제28권 제4호|pp. 589-606|DOI http://dx.doi.org/10.17777/ascm2017.28.4.589

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참고문헌

키워드

Fourier seriestwo variable higher-order Fubini polynomials
주제분류수학

초록

In this paper, we consider three types of functions involving higher-order Euler polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.

Abstract

In this paper, we consider three types of functions involving higher-order Euler polynomials and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.

참고문헌 (18)

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  4. 장관우, "FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 27(1), pp.49~62 (2017), 장전수학회[DOI]
  5. 장관우, "Some identities of ordered Bell numbers arising from differential equation", Advanced Studies in Contemporary Mathematics, 27(3), pp.385~398 (2017), 장전수학회[DOI]
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  7. 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]
  8. 김택연, "A NOTE ON DEGENERATE FUBINI POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(4), pp.521~531 (2017), 장전수학회[DOI]
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  13. 김대산, "Two variable higher-order Fubini polynomials", 대한수학회지, 55(4), pp.975~986 (2018), 대한수학회
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  16. T. Kim, "Fourier series of higher-order Bernoulli functions and their applications", J. Inequal. Appl., 2017 (2017)
  17. J. E. Marsden, "Elementary classical analysis" (1974), W. H. Freeman and Company
  18. D. G. Zill, "Advanced Engineering Mathematics" (2006), Jones and Bartlett Publishers

관련 논문AI추천

SUMS OF PRODUCTS OF TWO VARIABLE HIGHER-ORDER FUBINI FUNCTIONS ARISING FROM FOURIER SERIES김대산, 김태균, 장관우, 장이채, Dmitry V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호Fourier series of higher-order Euler functions and their applications김대산, 김태균대한수학회 · 대한수학회보2018 · 제55권 제1호FOURIER SERIES OF SUMS OF PRODUCTS OF HIGHER-ORDER GENOCCHI FUNCTIONS권종겸, 권혁인, 김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALS김대산, 김태균, 장관우, Toufik Mansour장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호Note on the Euler numbers and polynomialsT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제2호A further generalization of the Euler polynomials and on the 2D-Euler polynomialsBurak Kurt장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호

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