On some new modular equations of degree 9 and their applications

키워드

참고문헌 (16)

1. C. Adiga, "On some P{Q eta-function identities of Ramanujan", Indian J. Math, 44(2), pp.253~267 (2002)
2. B. C. Berndt, "Ramanujan's Notebooks, Part III" (1991), Springer-Verlag
3. B. C. Berndt, "Ramanujan's Notebooks, Part IV" (1994), Springer-Verlag
4. B. C. Berndt, "Ramanujan's remarkable product of the theta function", Proc. Edinburgh Math. Soc, 40 (1997)
5. S. Bhargava, "A new class of modular equations akin to Ramanujan's P{Q eta-function identities and some evaluations there from", Adv. Stud. Contemp. Math, 5(1), pp.37~48 (2002)
6. 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)
7. M. S. Mahadeva Naika, "Some new modular equations and their applications", ~
8. M. S. Mahadeva Naika, "Modular equations for the ratios of Ramanujan's theta function and evaluations", New Zealand J. Math, 40, pp.33~48 (2010)
9. M. S. Mahadeva Naika, "On some new theorems for the explicit evaluations of Ramanujan's remarkable product of theta function", Ramanujan J, 15(3), pp.349~366 (2008)
10. M. S. Mahadeva Naika, "On some new explicit evaluations of Ramanu- jan's remarkable product of theta function", South East Asian J. Math. Math. Sci., 5(1), pp.107~119 (2006)
11. M. S. M. Naika, "Explicit evaluations of Ramanujan's remarkable product of theta-function", Advanced Studies in Contemporary Mathematics, 13(2), pp.235~254 (2006), 장전수학회
12. M. S. Mahadeva Naika, "On Some Explicit evaluation of the ratios of Ramanujan's theta function", ~
13. 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)
14. S. Ramanujan, "Notebooks (2 volumes)" (1957), Tata Institute of Fundamental Research
15. S. Ramanujan, "The lost notebook and other unpublished papers" (1988), Narosa
16. J. Yi, "Construction and application of modular equations", 박사, pp.2004

관련 논문AI추천