지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 제24권 제1호
- 발행연도
- 2021.1
- 수록면
- 47 - 61 (15page)
이용수
초록· 키워드
오류제보하기
In recent years, many mathematicians have studied special numbers and polynomials in a variety of ways, using several means, including generating functions, combinatorial methods, umbral calculus, p-adic analysis, differential equations, and probabilities and so on. Umbral calculus was based on modern concepts such as linear functionals, linear operators, adjoints, and so on.
Recently, Kim-Kim (J. Math. Anal. Appl. (2020), 23, 124521) introduced the degenerate Sheffer sequence and the l -Sheffer sequence. In addition, many mathematicians have studied special poly- nomials and various degenerate versions of numbers in some arithmetic and combinatorial aspects, as well as applications to differential equations, identity of symmetry, and probability theory. For these point of view, this paper is divided in two parts. In the first part, we introduce the degenerate r-extended Lah-Bell polynomials and and derive several combinatorial identities related to those polynomials and numbers without using degenerate Sheffer sequences. In the second part, we also derive several combinatorial identities related to the degenerate r-extended Lah-Bell polynomials by using degenerate Sheffer sequences. Some of them include other special polynomials and numbers such as Lah numbers, r-extended Lah numbers, the degenerate Lah-Bell polynomials, the degenerate Bernoulli polynomials and numbers, the degenerate Euler polynomials and numbers, the degenerate Daehee polynomials and numbers, the degenerate Bell polynomials, the degenerate Stirling numbers of the first and second kind, and etc.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
SOME IDENTITIES OF A NEW TYPE OF DEGENERATE POLY-FROBENIUS-EULER POLYNOMIALS AND NUMBERS
Proceedings of the Jangjeon Mathematical Society
2021 .01
-
SOME IDENTITIES ON THE FULLY DEGENERATE BELL POLYNOMIALS OF THE SECOND KIND
Advanced Studies in Contemporary Mathematics
2020 .01
-
SOME IDENTITIES FOR DEGENERATE EULER NUMBERS AND POLYNOMIALS ARISING FROM DEGENERATE BELL POLYNOMIALS
Proceedings of the Jangjeon Mathematical Society
2016 .01
-
ON THE EXTENSION OF DEGENERATE STIRLING POLYNOMIALS OF THE SECOND KIND AND DEGENERATE BELL POLYNOMIALS
Advanced Studies in Contemporary Mathematics
2018 .01
-
A NEW TYPE OF DEGENERATE POLY-TYPE 2 EULER POLYNOMIALS AND DEGENERATE UNIPOLY-TYPE 2 EULER POLYNOMIALS
Proceedings of the Jangjeon Mathematical Society
2021 .04
-
SOME PROPERTIES OF DEGENERATED EULER POLYNOMIALS OF THE SECOND KIND USING DEGENERATED ALTERNATIVE POWER SUM
Journal of applied mathematics & informatics
2017 .01
-
ON THE DEGENERATE HIGHER-ORDER CAUCHY NUMBERS AND POLYNOMIALS
Advanced Studies in Contemporary Mathematics
2015 .01
-
Degenerate polyexponential functions and poly-Euler polynomials
대한수학회논문집
2021 .01
-
SOME EXPLICIT FORMULAS OF DEGENERATE STIRLING NUMBERS ASSOCIATED WITH THE DEGENERATE SPECIAL NUMBERS AND POLYNOMIALS
Proceedings of the Jangjeon Mathematical Society
2018 .01
-
SOME IDENTITIES OF THE DEGENERATE BERNOULLI POLYNOMIALS OF THE SECOND KIND ARISING FROM λ-SHEFFER SEQUENCES
Proceedings of the Jangjeon Mathematical Society
2021 .07
-
SYMMETRIC IDENTITIES FOR DEGENERATE CARLITZ-TYPE q-EULER NUMBERS AND POLYNOMIALS
Journal of applied mathematics & informatics
2019 .01
-
HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS
Proceedings of the Jangjeon Mathematical Society
2017 .01
-
A note on degenerate central factorial polynomials of the second kind
Advanced Studies in Contemporary Mathematics
2019 .01
-
On the modified degenerate Bernoulli polynomials
Advanced Studies in Contemporary Mathematics
2016 .01
-
A note on degenerate Eulerian numbers and polynomials
Advanced Studies in Contemporary Mathematics
2017 .01
-
Degenerate Bernoulli numbers and polynomials associated with degenerate Hermite polynomials
대한수학회논문집
2018 .01
-
SYMMETRIC IDENTITIES FOR DEGENERATE q-POLY-BERNOULLI NUMBERS AND POLYNOMIALS
Journal of applied mathematics & informatics
2018 .01
-
DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS OF THE FOURTH KIND
Advanced Studies in Contemporary Mathematics
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0