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 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.31 No.3
- 발행연도
- 2021.7
- 수록면
- 311 - 323 (13page)
이용수
초록· 키워드
오류제보하기
The aim of this paper is to give combinatorial sums with nonnegative real parameters a and b derived from integration of the modi cation of the Bernstein basis functions. For a = 0 and b = 1, these sums reduce to the combinatorial sum of the Leibnitz type numbers. We also give some properties of the Leibnitz numbers with the aid of their generating functions derived from the Volkenborn integral on the set of p-adic integers. Moreover, we give some novel identities and relations involving the Bernoulli numbers, the Stirling numbers, the Leibnitz numbers, the Daehee numbers, the Changhee numbers, inverse binomial coefficients, and combinatorial sums. Finally, by coding computation formula for the generalization of the Leibnitz numbers in Mathematica 12.0 with their implementation, we compute and present few values of these numbers with their tables. Finally, by using the applications of the Volkenborn integral to the Mahler coefficients, we derive some novel formulas involving the Leibnitz numbers.
목차
등록된 정보가 없습니다.
참고문헌 (42)
참고문헌 신청
S. N. Bernstein / 1912 / Demonstration du theoreme de Weierstrass fondee sur la calcul des probabilites / Communications of the Kharkov Mathematical Society 13:1~2
C. A. Charalambides / 2002 / Enumerative Combinatorics / Chapman & Hall /CRC
C. A. Charalambides / 2005 / Combinatorial Methods in Discrete Distributions / Wiley-Interscience
J. Choi / 2017 / Note on Apostol-Daehee polynomials and numbers / Far East J. Math. Sci 101(8):1845~1857
L. Comtet / 1974 / Advanced Combinatorics / D. Reidel Publication Company
C. A. Charalambides / 2002 / Enumerative Combinatorics / Chapman & Hall /CRC
C. A. Charalambides / 2005 / Combinatorial Methods in Discrete Distributions / Wiley-Interscience
J. Choi / 2017 / Note on Apostol-Daehee polynomials and numbers / Far East J. Math. Sci 101(8):1845~1857
L. Comtet / 1974 / Advanced Combinatorics / D. Reidel Publication Company
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
COMBINATORIAL SUMS INVOLVING FUBINI TYPE NUMBERS AND OTHER SPECIAL NUMBERS AND POLYNOMIALS: APPROACH TRIGONOMETRIC FUNCTIONS AND P-ADIC INTEGRALS
Advanced Studies in Contemporary Mathematics
2021 .01
-
IDENTITIES OF SYMMETRY FOR EULER POLYNOMIALS AND ALTERNATING POWER SUMS
Proceedings of the Jangjeon Mathematical Society
2021 .04
-
On degenerate $q$-Bernoulli polynomials
대한수학회보
2016 .01
-
Linear functionals on the space of polynomials over Cp
Advanced Studies in Contemporary Mathematics
2015 .01
-
IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALS
Advanced Studies in Contemporary Mathematics
2017 .01
-
ON p-ADIC INTEGRAL FOR GENERALIZED DEGENERATE HERMITE-BERNOULLI POLYNOMIALS ATTACHED TO χ OF HIGHER ORDER
호남수학학술지
2019 .01
-
Explicit evaluation of harmonic sums
대한수학회논문집
2018 .01
-
A note on the (h,q)-Changhee numbers and polynomials
Advanced Studies in Contemporary Mathematics
2019 .01
-
Bernoulli and Euler Polynomials in Two Variables
Kyungpook Mathematical Journal
2024 .03
-
A NOTE ON SOME IDENTITIES OF BERNOULLI NUMBERS ARISING FROM RIEMANN INTEGRALS
Advanced Studies in Contemporary Mathematics
2020 .01
-
OBSERVATIONS ON IDENTITIES AND RELATIONS FOR INTERPOLATION FUNCTIONS AND SPECIAL NUMBERS
Advanced Studies in Contemporary Mathematics
2018 .01
-
Some properties of the Bernoulli numbers of the second kind and their generating function
대한수학회보
2018 .01
-
Applications of class numbers and Bernoulli numbers to harmonic type sums
대한수학회보
2021 .11
-
q-Bernstein functions and applications
Advanced Studies in Contemporary Mathematics
2015 .01
-
A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALS
대한수학회지
2017 .01
-
A RESEARCH ON THE GENERALIZED POLY-BERNOULLI POLYNOMIALS WITH VARIABLE a
Journal of applied mathematics & informatics
2018 .01
-
On an integral involving \={I}-function
대한수학회논문집
2022 .01
-
On a (r,s)-Analogue of Changhee and Daehee Numbers and Polynomials
Kyungpook Mathematical Journal
2015 .01
-
Some identities of symmetry for stirling polynomials
Advanced Studies in Contemporary Mathematics
2016 .01
-
SYMMETRIC IDENTITIES OF TYPE 2 BERNOULLI AND EULER POLYNOMIALS UNDER S3
Advanced Studies in Contemporary Mathematics
2020 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0