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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 435 - 450 (16page)
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초록· 키워드
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On page 366 of his lost notebook [15], Ramanujan recorded a cubic continued
fraction and several theorems analogous to Rogers-Ramanujan’s continued fractions. In this paper, we derive several general formulas for explicit evaluations of Ramanujan’s cubic continued fraction, several reciprocity theorems, two formulas connecting V (q) and V (q3) and also establish some explicit evaluations using the values of remarkable product of theta-function.
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참고문헌 (15)
참고문헌 신청
B. C. Berndt / 1991 / Ramanujan’s Notebooks / Springer-Verlag
B. C. Berndt / 1997 / Ramanujan’s remarkable product of the theta-function / Proc. Edinburgh Math. Soc 40 : 583 ~ 612
C. Adiga / 2002 / Some new explicit evaluations of Ramanujan’s cubic continued fraction / The New Zealand J. Math 31 : 1 ~ 6
C. Adiga / 2004 / On Ramanujan’s cubic continued fraction and explicit evaluations of theta-function / Indian J. Pure and Appl. Math 35 (9) : 1047 ~ 1062
H. H. Chan / 1995 / n Ramanujan’s cubic continued fraction / Acta Arith 73 : 343 ~ 355
B. C. Berndt / 1997 / Ramanujan’s remarkable product of the theta-function / Proc. Edinburgh Math. Soc 40 : 583 ~ 612
C. Adiga / 2002 / Some new explicit evaluations of Ramanujan’s cubic continued fraction / The New Zealand J. Math 31 : 1 ~ 6
C. Adiga / 2004 / On Ramanujan’s cubic continued fraction and explicit evaluations of theta-function / Indian J. Pure and Appl. Math 35 (9) : 1047 ~ 1062
H. H. Chan / 1995 / n Ramanujan’s cubic continued fraction / Acta Arith 73 : 343 ~ 355
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