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
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제3호
- 발행연도
- 2015.1
- 수록면
- 305 - 315 (11page)
이용수
초록· 키워드
오류제보하기
Recently, Jianxin Liu, Hao Pan and Yong Zhang in [On the integral of the product of the Appell polynomials, Integral Transforms Spec. Funct. 25 (2014), no. 9, 680-685] established an explicit formula for the integral of the product of several Appell polynomials. Their work generalizes all the known results by previous authors on the integral of the product of Bernoulli and Euler polynomials. In this note, by using a special case of their formula for Euler polynomials, we shall provide several reciprocity relations between the special values of Tornheim's multiple series.
목차
등록된 정보가 없습니다.
참고문헌 (20)
참고문헌 신청
T. Arakawa. / 2014 / Bernoulli Numbers and Zeta Functions, with an appendix by Don Zagier / Springer
M. Abramowitz / 1972 / Handbook of mathematical functions with formulas, graphs and mathematical tables / Dover
T. Agoh. / 2011 / Integrals of products of Bernoulli polynomials / J. Math. Anal. Appl 381:10~16
L. Carlitz / 1959 / Note on the integral of the product of several Bernoulli polynomials / J. London Math. Soc 34:361~363
D. Cvijovi c. / 1995 / New formulae for the Bernoulli and Euler polynomials at rational arguments / Proc. Amer. Math. Soc 123(5):1527~1535
M. Abramowitz / 1972 / Handbook of mathematical functions with formulas, graphs and mathematical tables / Dover
T. Agoh. / 2011 / Integrals of products of Bernoulli polynomials / J. Math. Anal. Appl 381:10~16
L. Carlitz / 1959 / Note on the integral of the product of several Bernoulli polynomials / J. London Math. Soc 34:361~363
D. Cvijovi c. / 1995 / New formulae for the Bernoulli and Euler polynomials at rational arguments / Proc. Amer. Math. Soc 123(5):1527~1535
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
IDENTITIES FOR SPECIAL NUMBERS AND POLYNOMIALS INVOLVING FIBONACCI-TYPE POLYNOMIALS AND CHEBYSHEV POLYNOMIALS
Advanced Studies in Contemporary Mathematics
2020 .01
-
Bernoulli and Euler Polynomials in Two Variables
Kyungpook Mathematical Journal
2024 .03
-
A note on type 2 degenerate Euler and Bernoulli polynomials
Advanced Studies in Contemporary Mathematics
2019 .01
-
IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALS
Advanced Studies in Contemporary Mathematics
2017 .01
-
SOME RELATIONSHIPS BETWEEN (p, q)-EULER POLYNOMIAL OF THE SECOND KIND AND (p, q)-OTHERS POLYNOMIALS
Journal of applied mathematics & informatics
2019 .01
-
A RELATION OF GENERALIZED q-ω-EULER NUMBERS AND POLYNOMIALS
Journal of applied mathematics & informatics
2017 .01
-
On degenerate $q$-Bernoulli polynomials
대한수학회보
2016 .01
-
Multiple-poly-Bernoulli polynomials of the second kind
Advanced Studies in Contemporary Mathematics
2015 .01
-
Some properties of special polynomials with exponential distribution
대한수학회논문집
2019 .01
-
On convergence properties associated with Euler type polynomials
Proceedings of the Jangjeon Mathematical Society
2024 .07
-
A note on $lanbda$-Bernoulli numbers of the second kind
Advanced Studies in Contemporary Mathematics
2020 .01
-
FOURIER SERIES OF FUNCTIONS RELATED TO TWO VARIABLE HIGHER-ORDER FUBINI POLYNOMIALS
Advanced Studies in Contemporary Mathematics
2018 .01
-
Finding results for certain relatives of the Appell polynomials
대한수학회보
2019 .01
-
A general Volterra-type integral equation associated with an integral operator involving the product of general class of polynomials and multivarible H-function in the kernel
Proceedings of the Jangjeon Mathematical Society
2017 .01
-
Korobov Polynomials of the Fifth Kind and of the Sixth Kind
Kyungpook Mathematical Journal
2016 .01
-
$q$-Addition theorems for the $q$-Appell polynomials and the associated classes of $q$-polynomials expansions
대한수학회지
2018 .01
-
ON HIGHER ORDER (p, q)-FROBENIUS-GENOCCHI NUMBERS AND POLYNOMIALS
Journal of applied mathematics & informatics
2019 .01
-
A note on the (h,q)-Changhee numbers and polynomials
Advanced Studies in Contemporary Mathematics
2019 .01
-
On generalized degenerate type Euler polynomials
Advanced Studies in Contemporary Mathematics
2023 .01
-
Lucas-Euler Relations Using Balancing and Lucas-Balancing Polynomials
Kyungpook Mathematical Journal
2021 .09
이 논문의 저자 정보
최근 본 자료
댓글(0)
0