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.
초록· 키워드
오류제보하기
In this paper, by using q-deformed bosonic p-adic integral,
we give λ-Bernoulli numbers and polynomials, we prove Witt’s type formula
of λ-Bernoulli polynomials and Gauss multiplicative formula for
λ-Bernoulli polynomials. By using derivative operator to the generating
functions of λ-Bernoulli polynomials and generalized λ-Bernoulli numbers,
we give Hurwitz type λ-zeta functions and Dirichlet’s type λ-L-functions; which are interpolated λ-Bernoulli polynomials and generalized
λ-Bernoulli numbers, respectively. We give generating function of λ-Bernoulli numbers with order r. By using Mellin transforms to their function, we prove relations between multiply zeta function and λ-Bernoulli polynomials and ordinary Bernoulli numbers of order r and λ-Bernoulli
numbers, respectively. We also study on λ-Bernoulli numbers and polynomials
in the space of locally constant. Moreover, we define λ-partial
zeta function and interpolation function.
목차
등록된 정보가 없습니다.
참고문헌 (26)
참고문헌 신청
E. W. Barnes / 1994 / On the theory of the multiple gamma functions / Transactions of the Cambridge philosophical Society 19 : 374 ~ 425
J. Satho / 1989 / q-analogue of Riemann’s ³-function and q-Euler numbers / Journal of Number Theory 31 (3) : 346 ~ 362
K. C. Garret / 2004 / A combinatorial proof of the sum of q-cubes / Electronic Journal of Combinatorics 11 (1) : 9 ~
K. Iwasawa / 1972 / Lectures on p-adic L-function, Annals of Mathematics Studies, No. 74 / Princeton University Press
K. Shiratani / 1985 / On a p-adic interpolation function for the Euler numbers and its derivatives / Memoirs of the Faculty of Science Kyushu University Series A 39 (1) : 11
J. Satho / 1989 / q-analogue of Riemann’s ³-function and q-Euler numbers / Journal of Number Theory 31 (3) : 346 ~ 362
K. C. Garret / 2004 / A combinatorial proof of the sum of q-cubes / Electronic Journal of Combinatorics 11 (1) : 9 ~
K. Iwasawa / 1972 / Lectures on p-adic L-function, Annals of Mathematics Studies, No. 74 / Princeton University Press
K. Shiratani / 1985 / On a p-adic interpolation function for the Euler numbers and its derivatives / Memoirs of the Faculty of Science Kyushu University Series A 39 (1) : 11
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
A NUMERICAL INVESTIGATION OF THE STRUCTURE OF THE ROOTS OF q-BERNOULLI POLYNOMIALS
Journal of applied mathematics & computing
2007 .01
-
SOME IDENTITIES FOR (p, q)-HURWITZ ZETA FUNCTION
Journal of applied mathematics & informatics
2019 .01
-
On degenerate $q$-Bernoulli polynomials
대한수학회보
2016 .01
-
A NOTE ON THE ZEROS OF THE q-BERNOULLI POLYNOMIALS
Journal of applied mathematics & informatics
2010 .01
-
Some properties of the Bernoulli numbers of the second kind and their generating function
대한수학회보
2018 .01
-
Functional Equations associated with Generalized Bernoulli Numbers and Polynomials
Kyungpook Mathematical Journal
2015 .01
-
A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS
대한수학회보
2010 .01
-
A further investigation of generating functions related to pairs of inverse functions with applications to generalized degenerate Bernoulli polynomials
대한수학회보
2014 .01
-
The values of an Euler sum at the negative integers and a relation to a certain convolution of Bernoulli numbers
대한수학회보
2008 .01
-
ON THE GENERALIZED EULER POLYNOMIALS OF THE SECOND KIND
Journal of applied mathematics & informatics
2013 .01
-
STRUCTURE OF THE ZEROS OF q-BERNOULLI POLYNOMIALS
Journal of applied mathematics & computing
2005 .01
-
A NOTE ON THE WEIGHTED q-BERNOULLI NUMBERS AND THE WEIGHTED q-BERNSTEIN POLYNOMIALS
호남수학학술지
2011 .01
-
SYMMETRY PROPERTIES FOR A UNIFIED CLASS OF POLYNOMIALS ATTACHED TO χ
Journal of applied mathematics & informatics
2013 .01
-
A RESEARCH ON THE GENERALIZED POLY-BERNOULLI POLYNOMIALS WITH VARIABLE a
Journal of applied mathematics & informatics
2018 .01
-
CALCULATING ZEROS OF THE GENERALIZED GENOCCHI POLYNOMIALS
Journal of applied mathematics & informatics
2009 .01
-
SOME RELATIONSHIPS BETWEEN (p, q)-EULER POLYNOMIAL OF THE SECOND KIND AND (p, q)-OTHERS POLYNOMIALS
Journal of applied mathematics & informatics
2019 .01
-
ON THE SPECIAL VALUES OF TORNHEIM'S MULTIPLE SERIES
Journal of applied mathematics & informatics
2015 .01
-
On lacunary recurrences with gaps of length four and eight for the Bernoulli numbers
대한수학회보
2019 .01
-
Korobov Polynomials of the Fifth Kind and of the Sixth Kind
Kyungpook Mathematical Journal
2016 .01
-
Degenerate Bernoulli numbers and polynomials associated with degenerate Hermite polynomials
대한수학회논문집
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0