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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)
- M. Abramowitz, "Handbook of Mathematical Functions" (1970), Dover
- R. P. Agarwal, "Sums of finite products of Bernoulli functions", Adv. Diff. Equ., 2017, pp.237~ (2017)[DOI]
- 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]
- ABDELMEJID BAYAD, "SPECIAL VALUES OF LERCH ZETA FUNCTION AND THEIR FOURIER EXPANSIONS", Advanced Studies in Contemporary Mathematics, 21(1), pp.1~4 (2011), 장전수학회
- I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
- C. Faber, "Hodge integrals and Gromov-Witten theory", Invent. Math., 139(1), pp.173~199 (2000)[DOI]
- 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
- Guven, "Approximation by Means of Fourier Trigonometric Series in Weighted Orlicz Spaces", Advanced Studies in Contemporary Mathematics, 19(2), pp.283~295 (2009), 장전수학회
- 장관우, "FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 27(1), pp.49~62 (2017), 장전수학회[DOI]
- 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]
- T. Kim, "On the multiple q-Genocchi and Euler numbers", Russ. J. Math. Phys., 15(4), pp.481~485 (2008)[DOI]
- T. Kim, "Euler numbers and polynomials associated with zeta functions", Abstr. Appl. Anal. (2008)
- 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
- 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]
- BURAK KURT, "On the Hermite based Genocchi polynomials", Advanced Studies in Contemporary Mathematics, 23(1), pp.13~17 (2013), 장전수학회
- J. E. Marsden, "Elementary Classical Analysis" (1974), W. H. Freeman and Company
- H. Miki, "A relation between Bernoulli numbers", J. Number Theory, 10(3), pp.297~302 (1978)[DOI]
- 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
- 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]
- 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]
- 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 FUNCTIONS RELATED TO TWO VARIABLE HIGHER-ORDER FUBINI POLYNOMIALS권종겸, 김대산, 김태균, 장관우, Dmitry V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALS김대산, 김태균, 장관우, Toufik Mansour장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호Fourier series of higher-order Euler functions and their applications김대산, 김태균대한수학회 · 대한수학회보2018 · 제55권 제1호SUMS OF FINITE PRODUCTS OF ORDERED BELL FUNCTIONS김대산, 김태균, 장관우, DMITRY V. DOLGY, Toufik Mansour장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호THE MULTIPLICATION FORMULAE FOR THE GENOCCHI POLYNOMIALSKurt장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제1호
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