Certain identities for a continued fraction of Ramanujan

키워드

참고문헌 (31)

1. C. Adiga, "A note on a continued fraction of Ramanujan", Bull. Austral. Math. Soc., 70, pp.489~497 (2004)
2. C. Adiga, "Chapter 16 of Ramanujan's second notebook: Theta-function and q-series", Mem. Amer. Math. Soc., 53(315) (1985)
3. C. Adiga, "On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions", Indian J. Pure Appl. Math., 35(9), pp.1047~1062 (2004)
4. C. Adiga, "Some new explicit evaluations of Ramanujan's cubic continued fractio", New Zealand J. Math., 31, pp.1~6 (2002)
5. G. E. Andrews, "Ramanujan's Lost Notebook, Part I" (2005), Springer
6. K. Sushan Bairy, "Some theorems on the explicit evaluations of singular moduli", General Mathematics, 17(1), pp.71~87 (2009)
7. K. Sushan Bairy, "Contributions to modular equations and class invariants", Ph.D, pp.2011
8. B. C. Berndt, "Ramanujan's Notebooks, Part III" (1991), Springer-Verlag
9. B. C. Berndt, "Ramanujan's Notebooks, Part V" (1998), Springer-Verlag
10. B. C. Berndt, "Some values of the Rogers-Ramanujan continued fraction", Canad. J. Math., 47, pp.897~914 (1995)
11. H. H. Chan, "On Ramanujan's cubic continued fraction", Acta Arith., 73, pp.343~355 (1995)
12. H. H. Cham, "On the Ramanujan-Gollnitz-Gordon continued fraction", Ramanujan J., 1, pp.75~90 (1997)
13. L. Jacobsen, "Domains of validity of some Ramanujan's continued fraction formulas", J. Math. Anal. Appl., 143, pp.412~437 (1989)
14. M. S. Mahadeva Naika, "Some theorems on Ramanujan's cubic continued fraction and related identities", Tamsui Oxf. J. Math. Sci., 24(3), pp.243~256 (2008)
15. M. S. Mahadeva Naika, "Some new modular equations and their applications", Tamsui Oxf. J. Inf. Math. Sci, 28(4), pp.437~469 (2012)
16. M. S. Mahadeva Naika, "Some identities for Ramanujan Gollnitz-Gordon continued fraction", Aust. J. Math. Anal. Appl., 10(1, Art. 2), pp.1~36 (2013)
17. M. S. Mahadeva Naika, "A continued fraction of order twelve", Cent. Eur. J. Math., 6(3), pp.393~404 (2008)
18. M. S. Mahadeva Naika, "Some integral identities for the Rogers{Ramanujan continued fraction", Bull. Allahabad Math. Soc., 23(1), pp.193~203 (2008)
19. M. S. Mahadeva Naika, "General Formulas for Explicit Evaluations of Ramanujan’s Cubic Continued Fraction", Kyungpook Mathematical Journal, 49(3), pp.435~450 (2009), 경북대학교 자연과학대학 수학과
20. M. S. Mahadeva Naika, "On some Ramanujan{Selberg continued fraction", Indian J. Math., 51(3), pp.585~596 (2009)
21. M. S. Mahadeva Naika, "On some new explicit evaluations of class invariants", Vietnam J. Math, 36(1), pp.103~124 (2008)
22. M. S. Mahadeva Naika, "A continued fraction of order 4 found in Ramanu-jan's `lost' notebook", 9(3), pp.43~63 (2011)
23. M. S. Mahadeva Naika, "Certain identities for a continued fraction of Eisenstein", Far East J. Math. Sci., 57(2), pp.205~226 (2011)
24. M. S. Mahadeva Naika, "Some new modular equations of degree four and their explicit evaluations", Eur. J. Pure Appl. Math., 3(6), pp.924~947 (2010)
25. K. G. Ramanathan, "On the Rogers-Ramanujan continued fraction", Proc. Indian Acad. Sci. (Math. Sci.), 93, pp.67~77 (1984)
26. K. G. Ramanathan, "Ramanujan's continued fraction", Indian J. Pure Appl. Math., 16, pp.695~724 (1985)
27. K. G. Ramanathan, "Hypergeometric series and continued fractions", Proc. Indian Acad. Sci. (Math. Sci.), 97, pp.277~296 (1987)
28. S. Ramanujan, "Notebooks (2 volumes)" (1957), Tata Institute of Fundamental Researc
29. S. Ramanujan, "The lost notebook and other unpublished papers" (1988), Narosa
30. K .R .Vasuki, "Some evaluations of the Rogers-Ramanujan continued fractions", Proc. Inter. Conf. on the works of Srinivasa Ramanujan, pp.209~217 (2000)
31. J. Yi, "Construction and application of modular equations", Ph.D, pp.2004

관련 논문AI추천