In this paper, we give alternative proofs of Ramanujan's modular equations of degree 7, by employing certain theta-function identities.
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https://www.riss.kr/link?id=A104868959
K. R. Vasuki (University of Mysore) ; R. G. veeresha (Sri Jayachamarajendra College of Enginee)
2016
English
KCI등재,SCOPUS
학술저널
45-61(17쪽)
0
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In this paper, we give alternative proofs of Ramanujan's modular equations of degree 7, by employing certain theta-function identities.
In this paper, we give alternative proofs of Ramanujan's modular equations of degree 7, by employing certain theta-function identities.
참고문헌 (Reference)
1 S. Ramanujan, "The Lost Notebook and Other Unpublished Papers" Narosa 1988
2 Z.-G. Liu, "Some theta function Identities Associated with the Modular Equations of Degree 5" 1 : 1-14, 2001
3 B. C. Berndt, "Ramanujan's Notebooks" Springer 1991
4 N. D. Baruah, "Ramanujan's Modular Equations of Degree 5" 122 (122): 485-506, 2012
5 L.-C. Shen, "On the modular equations of degree 3" 122 : 1101-1114, 1994
6 K. R. Vasuki, "On Some Ramanujan's Schlafli Type Modular Equations" 3 (3): 1-8, 2006
7 L.-C. Shen, "On Some Modular Equations of Degree 5" 123 : 1521-1526, 1995
8 K. R. Vasuki, "On Ramanujan's Modular Equation of Degree 7" 153 : 304-308, 2015
9 S. Ramanujan, "Notebooks" Tata Institute of Fundamental Research 1957
10 H. Schroter, "De aequationibus modularibus, Dissertatio Inauguralis, Albertina Litterarum Universitate"
1 S. Ramanujan, "The Lost Notebook and Other Unpublished Papers" Narosa 1988
2 Z.-G. Liu, "Some theta function Identities Associated with the Modular Equations of Degree 5" 1 : 1-14, 2001
3 B. C. Berndt, "Ramanujan's Notebooks" Springer 1991
4 N. D. Baruah, "Ramanujan's Modular Equations of Degree 5" 122 (122): 485-506, 2012
5 L.-C. Shen, "On the modular equations of degree 3" 122 : 1101-1114, 1994
6 K. R. Vasuki, "On Some Ramanujan's Schlafli Type Modular Equations" 3 (3): 1-8, 2006
7 L.-C. Shen, "On Some Modular Equations of Degree 5" 123 : 1521-1526, 1995
8 K. R. Vasuki, "On Ramanujan's Modular Equation of Degree 7" 153 : 304-308, 2015
9 S. Ramanujan, "Notebooks" Tata Institute of Fundamental Research 1957
10 H. Schroter, "De aequationibus modularibus, Dissertatio Inauguralis, Albertina Litterarum Universitate"
11 N. D. Baruah, "Certain Theta Function Identities and Ramanujan's Modular Equations of Degree 3" 48 (48): 113-133, 2006
12 L. Schlafli, "Beweis der Hermiteschen Verwandlungstafeln fur elliptischen modularfunction" 72 : 360-369, 1870
13 Z.-G. Liu, "An Extension of the Quintuple Product Identity and its Applications" 246 (246): 89-134, 2010
Perturbation problem for a singular elliptic equation
Coefficient estimates of classes of q-starlike and q-convex functions
Some summation and Laplace transformation formulas for the Gauss hypergeometric series
Inverse problem for a partial difference equation of the higher order
학술지 이력
연월일 | 이력구분 | 이력상세 | 등재구분 |
---|---|---|---|
2024 | 평가예정 | 해외DB학술지평가 신청대상 (해외등재 학술지 평가) | |
2021-01-01 | 평가 | 등재학술지 선정 (해외등재 학술지 평가) | |
2020-12-01 | 평가 | 등재 탈락 (해외등재 학술지 평가) | |
2013-10-01 | 평가 | 등재학술지 선정 (기타) | |
2011-01-01 | 평가 | 등재후보학술지 유지 (기타) | |
2008-04-08 | 학회명변경 | 한글명 : 장전수리과학회 -> 장전수학회(章田數學會) | |
2008-01-01 | 평가 | SCOPUS 등재 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.16 | 0.16 | 0.24 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.29 | 0.27 | 0.609 | 0.15 |