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 we consider certain classes of generalized level 2 Eisenstein series by simple differential calculations of trigonometric functions. In particular, we give four new transformation formulas for some level 2 Eisenstein series. We can find that these level 2 Eisenstein series are reducible to infinite series involving hyperbolic functions. Moreover, some interesting new examples are given.
목차
등록된 정보가 없습니다.
참고문헌 (16)
참고문헌 신청
R. Ayoub / 1974 / Euler and the zeta function / Amer. Math. Monthly 81:1067~1086
B. C. Berndt / 1977 / Modular transformations and generalizations of several formulae of Ra-manujan / Rocky Mountain J. Math 7(1):147~189
B. C. Berndt / 1978 / Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan / J. Reine Angew. Math 303/304:332~365
B. C. Berndt / 1989 / Ramanujan's Notebooks. Part II / Springer-Verlag
B. C. Berndt / 1991 / Ramanujan's Notebooks. Part III / Springer-Verlag
B. C. Berndt / 1977 / Modular transformations and generalizations of several formulae of Ra-manujan / Rocky Mountain J. Math 7(1):147~189
B. C. Berndt / 1978 / Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan / J. Reine Angew. Math 303/304:332~365
B. C. Berndt / 1989 / Ramanujan's Notebooks. Part II / Springer-Verlag
B. C. Berndt / 1991 / Ramanujan's Notebooks. Part III / Springer-Verlag
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
ON SOME SERIES IDENTITIES
호남수학학술지
2016 .01
-
A family of functions associated with three term relations and Eisenstein series
대한수학회보
2016 .01
-
Exact formula for Jacobi-Eisenstein series of square free discriminant lattice index
대한수학회보
2020 .01
-
A note on vector-valued Eisenstein series of weight $3/2$
대한수학회보
2021 .01
-
Eisenstein series with non-unitary twists
대한수학회지
2018 .01
-
SERIES REPRESENTATIONS FOR SOME SPECIAL FUNCTIONS
Proceedings of the Jangjeon Mathematical Society
2016 .01
-
Issues Related to the Use of Time Series in Model Building and Analysis: Review Article
CSAM(Communications for Statistical Applications and Methods)
2015 .05
-
Fourier series of higher-order Euler functions and their applications
대한수학회보
2018 .01
-
An Identity Involving Product of Generalized Hypergeometric Series 2F2
Kyungpook Mathematical Journal
2019 .01
-
DERIVATIVE FORMULAE FOR MODULAR FORMS AND THEIR PROPERTIES
대한수학회지
2015 .01
-
Representations by quaternary quadratic forms with coefficients $1$, $2$, $11$ and $22$
대한수학회보
2023 .01
-
A POWER SERIES ASSOCIATED WITH THE GENERALIZED HYPERGEOMETRIC FUNCTIONS WITH THE UNIT ARGUMENT WHICH ARE INVOLVED IN BELL POLYNOMIALS
Nonlinear Functional Analysis and Applications
2022 .03
-
FOURIER SERIES OF FUNCTIONS RELATED TO TWO VARIABLE HIGHER-ORDER FUBINI POLYNOMIALS
Advanced Studies in Contemporary Mathematics
2018 .01
-
A NOTE ON THREE DERIVATIONS OF GREGORY-LEIBNIZ SERIES FOR π VIA A HYPERGEOMETRIC SERIES APPROACH
East Asian Mathematical Journal
2023 .05
-
FOURIER SERIES OF SUMS OF PRODUCTS OF HIGHER-ORDER GENOCCHI FUNCTIONS
Advanced Studies in Contemporary Mathematics
2018 .01
-
Certain inequalities for series involving the generalized hypergeometric function 2F2
Advanced Studies in Contemporary Mathematics
2016 .01
-
시계열분석과 다변량통계기법을 이용한 지하수위 시계열자료의 군집분석
대한지질학회 학술대회
2016 .10
-
FOURIER SERIES OF FUNCTIONS RELATED TO BERNOULLI POLYNOMIALS
Advanced Studies in Contemporary Mathematics
2017 .01
-
ON THE POWER INTEGRABILITY WITH WEIGHT OF DOUBLE TRIGONOMETRIC SERIES
Advanced Studies in Contemporary Mathematics
2021 .04
-
On generalized Krull power series rings
대한수학회보
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0