We study three different types of sums of finite products of ordered Bell functions. We derive Fourier series expansion for them and express each of them in terms of Bernoulli functions.

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https://www.riss.kr/link?id=A106060968
DMITRY V. DOLGY (Far Eastern Federal University) ; 김대산 (서강대학교) ; 김태균 (광운대학교) ; 장관우 (광운대학교) ; Toufik Mansour (University of Haifa)
2018
English
KCI등재,SCOPUS
학술저널
381-392(12쪽)
0
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
We study three different types of sums of finite products of ordered Bell functions. We derive Fourier series expansion for them and express each of them in terms of Bernoulli functions.
We study three different types of sums of finite products of ordered Bell functions.
We derive Fourier series expansion for them and express each of them in terms of Bernoulli functions.
참고문헌 (Reference)
1 T. Kim, "Some formulas of ordered Bell numbers and polynomials arising from umbral calculus"
2 H. M. Srivastava, "Some families of generating functions associated with the Stirling numbers of the second kind" 251 (251): 752769-, 2000
3 H. M. Srivastava, "Some explicit formulas for the Bernoulli and Euler numbers and polynomials" 19 (19): 79-82, 1988
4 A. Cayley, "On the analytical forms called trees, Second part" 18 (18): 374-378, 1859
5 D. S. Kim, "On degenerate Bell number and polynomials" 1-12, 2016
6 T. Kim, "On
7 C. Watari, "Multipliers for Walsh-Fourier series" 16 (16): 239-251, 1964
8 T. Kim, "Fourier series of higher-order Bernoulli functions and their applications" 2017 : 8-, 2017
9 G.M. Dzafarli, "Fourier series for functions of the space
10 M. Mor, "Cayley permutations" 48 (48): 101-112, 1984
1 T. Kim, "Some formulas of ordered Bell numbers and polynomials arising from umbral calculus"
2 H. M. Srivastava, "Some families of generating functions associated with the Stirling numbers of the second kind" 251 (251): 752769-, 2000
3 H. M. Srivastava, "Some explicit formulas for the Bernoulli and Euler numbers and polynomials" 19 (19): 79-82, 1988
4 A. Cayley, "On the analytical forms called trees, Second part" 18 (18): 374-378, 1859
5 D. S. Kim, "On degenerate Bell number and polynomials" 1-12, 2016
6 T. Kim, "On
7 C. Watari, "Multipliers for Walsh-Fourier series" 16 (16): 239-251, 1964
8 T. Kim, "Fourier series of higher-order Bernoulli functions and their applications" 2017 : 8-, 2017
9 G.M. Dzafarli, "Fourier series for functions of the space
10 M. Mor, "Cayley permutations" 48 (48): 101-112, 1984
11 D.G. Zill, "Advancerl Engineering Mathematics" Jones and Bartlett Publishers 2006
12 L. Comtet, "Advanced Combinatorics, The Art of Finite and Infinite Expansions" D. Reidel Publishing Co. 228-, 1974
13 B.H. Yadav, "Absolute convergence of Fourier series" Maharaja Sayajirao University of Baroda (India) 1964
14 A. Knopfmacher, "A survey of factorization counting functions" 1 (1): 563-581, 2005
GENERALITIES CONCERNING IRREDUCIBLE PSEUDOREPRESENTATIONS OF GROUPS
EXPANSION PROBLEMS FOR HERMITION MATRICES WHILE MAINTAINING THE EIGENVALUES
SUMS OF PRODUCTS OF TWO VARIABLE HIGHER-ORDER FUBINI FUNCTIONS ARISING FROM FOURIER SERIES
학술지 이력
| 연월일 | 이력구분 | 이력상세 | 등재구분 |
|---|---|---|---|
| 2024 | 평가 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
| 2021-01-01 | 등재 | 등재학술지 선정 (해외등재 학술지 평가) | ![]() |
| 2020-12-01 | 등재 | 등재 탈락 (해외등재 학술지 평가) | |
| 2013-10-01 | 등재 | 등재학술지 선정 (기타) | ![]() |
| 2011-01-01 | 등재 | 등재후보학술지 유지 (기타) | ![]() |
| 2008-04-08 | 학회명변경 | 한글명 : 장전수리과학회 -> 장전수학회(章田數學會) | ![]() |
| 2008-01-01 | 등재 | SCOPUS 등재 (신규평가) | ![]() |
학술지 인용정보
| 기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
|---|---|---|---|
| 2016 | 0.16 | 0.16 | 0.24 |
| KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
| 0.29 | 0.27 | 0.609 | 0.15 |