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In this paper, we study explicit formulas for expressing any polynomials as linear combinations of the higher order Changhee poly- nomials bases of the first and second kind. We use umbral calculus to get them and find interesting identities by applyi...
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부가정보
다국어 초록 (Multilingual Abstract)
In this paper, we study explicit formulas for expressing any polynomials as linear combinations of the higher order Changhee poly- nomials bases of the first and second kind. We use umbral calculus to get them and find interesting identities by applying these formulas to certain special polynomials. In addition, we show that the higher-order Euler polynomials and the higher-order Bernoulli polynomials are expressed as linear combinations of the higher-order Changhee polynomials, of both kinds.
참고문헌 (Reference)
1 S. Roman, "The umbral calculus" 1984
2 T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic in-variant integral on Zp" 16 (16): 93-96, 2009
3 D. S. Kim, "Symmetric identities of higher-order degenerate Euler polynomi-als" 9 (9): 443-451, 2016
4 T. Kim, "Some properties identities of Bernoulli and Euler polynomials associated with p-adic integral on Zp" 847901-847912, 2012
5 T. Kim, "Some identities on the Euler numbers arising from Euler basis polynomials" 109 : 433-446, 2013
6 D. S. Kim, "Some identities of special numbers and polynomials arising from p-adic integrals on Zp" 2019 : 190-, 2019
7 D. S. Kim, "Some identities of higher order Euler polynomials arising from Euler basis" 24 (24): 734-738, 2013
8 T. Kim, "On the analogs of Euler numbers and polynomials associated with p-adic q-integral on Zp at q = -1" 331 : 779-792, 2007
9 I. M. Gessel, "On Mikis identities for Bernoulli numbers" 110 (110): 75-82, 2005
10 J. G. Lee, "On Appell-type Changhee polynomials and numbers" 2016 : 160-, 2016
1 S. Roman, "The umbral calculus" 1984
2 T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic in-variant integral on Zp" 16 (16): 93-96, 2009
3 D. S. Kim, "Symmetric identities of higher-order degenerate Euler polynomi-als" 9 (9): 443-451, 2016
4 T. Kim, "Some properties identities of Bernoulli and Euler polynomials associated with p-adic integral on Zp" 847901-847912, 2012
5 T. Kim, "Some identities on the Euler numbers arising from Euler basis polynomials" 109 : 433-446, 2013
6 D. S. Kim, "Some identities of special numbers and polynomials arising from p-adic integrals on Zp" 2019 : 190-, 2019
7 D. S. Kim, "Some identities of higher order Euler polynomials arising from Euler basis" 24 (24): 734-738, 2013
8 T. Kim, "On the analogs of Euler numbers and polynomials associated with p-adic q-integral on Zp at q = -1" 331 : 779-792, 2007
9 I. M. Gessel, "On Mikis identities for Bernoulli numbers" 110 (110): 75-82, 2005
10 J. G. Lee, "On Appell-type Changhee polynomials and numbers" 2016 : 160-, 2016
11 T. Kim, "New Changhee q-Euler numbers and polynomials associated with p-adic q-integrals" 54 : 484-489, 2007
12 D. S. Kim, "Higher-order Daehee numbers and polynomials" 8 (8): 273-283, 2014
13 D. S. Kim, "Degenerate Sheffer sequences and λ-Sheffer sequences" 493 (493): 124521-, 2021
14 장관우 ; 김대산 ; 김태균, "Degenerate Changhee numbers and polynomials of the second kind" 장전수학회 27 (27): 609-624, 2017
15 G. V. Dunne, "Bernoulli number identities from quantum field theory and topological string theory" 7 (7): 225-249, 2013
16 D. S. Kim, "Bernoulli basis and the product of several Bernoulli polynomials" 463659-, 2012
17 K. Shiratani, "An application of p-adic convolutions" 36 (36): 73-83, 1982
18 H. Miki, "A relation between Bernoulli numbers" 10 (10): 297-302, 1978
19 T. Kim, "A note on q-Volkenborn Integration" 8 (8): 13-17, 2005
20 D. S. Kim, "A note on a new type of degenerate Bernoulli numbers" 27 (27): 227-235, 2020
21 D. S. Kim, "A note on Changhee polynomials and numbers" 7 (7): 993-1003, 2013
22 D. S. Kim, "A note on Changhee numbers and polynomials" 7 : 993-1003, 2013
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분석정보
인용정보 인용지수 설명보기
학술지 이력
| 연월일 | 이력구분 | 이력상세 | 등재구분 |
|---|---|---|---|
| 2024 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
| 2021-01-01 | 평가 | 등재학술지 선정 (해외등재 학술지 평가) |  |
| 2020-12-01 | 평가 | 등재 탈락 (해외등재 학술지 평가) | |
| 2013-10-01 | 평가 | 등재학술지 선정 (기타) | |
| 2011-01-01 | 평가 | 등재후보학술지 유지 (기타) |  |
| 2008-12-24 | 학술지명변경 | 한글명 : 장전수학회 논문집 -> Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) | |
| 2008-04-08 | 학회명변경 | 한글명 : 장전수리과학회 -> 장전수학회(章田數學會) | |
| 2008-01-01 | 평가 | SCOPUS 등재 (신규평가) | |
학술지 인용정보
| 기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
|---|---|---|---|
| 2016 | 0.42 | 0.42 | 0.34 |
| KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
| 0.3 | 0.28 | 0.704 | 0.2 |
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