On Some Modular Equations in the Spirit of Ramanujan

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참고문헌 (16)

1. C. Adiga, "Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions", J. of Number Theory, 158, pp.281~297 (2016)
2. N. D. Baruah, "Modular equations for Ramanujan's cubic continued fraction", J. Math. Anal. Appl, 268, pp.244~255 (2002)
3. N. D. Baruah, "On some of Ramanujan's Schla i-type "mixed" modular equations", J. Number Theory, 100, pp.270~294 (2003)
4. B. C. Berndt, "Ramanujan's Notebooks, Part III" (1991), Springer-Verlag
5. B. C. Berndt, "Ramanujan's Notebooks, Part IV" (1994), Springer-Verlag
6. H. H. Chan, "On Ramanujan's cubic continued fraction", Acta Arith., 73, pp.343~345 (1995)
7. M. S. M. Naika, "A note on cubic modular equations of degree two", Tamsui Oxf. J. Math. Sci., 22, pp.1~8 (2006)
8. M. S. M. Naika, "Some new Schla i-type modular equations in quartic theory", Ramanujan Math. Soc. Lect. Notes ser., 14, pp.185~199 (2010)
9. S. Ramanujan, "Notebooks (2 Volumes)" (1957), Tata Instiute of Fundamental Research
10. S. Ramanujan, "The Lost Notebook and other unpublished papers" (1988), Narosa
11. H. M. Srivastava, "Some relationships between -product identities, combinatorial partition identities and continued-fraction identities", Advanced Studies in Contemporary Mathematics, 25(3), pp.265~272 (2015), 장전수학회
12. K. R. Vasuki, "A note on P-Q modular equations", Tamsui Oxf. J. Math. Sci., 21, pp.109~120 (2005)
13. K. R. Vasuki, "On Some Ramanujan's P-Q modular equations", J. Indian Math. Soc., 73, pp.131~143 (2006)
14. K. R. Vasuki, "Evaluation of the Ramanujan-Gollnitz-Gordon continued fraction H(q) by modular equations", Indian J. of Mathematics, 48(3), pp.275~300 (2006)
15. K. R. Vasuki, "Two identities for Ramanujan's cubic continued fraction", ~
16. E. T. Whittekar, "A Course of Modern Analysis" (1966), Cambridge University Press

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