On some identities of Ramanujan found in his lost notebook

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참고문헌 (15)

1. C. Adiga, "On a reciprocity theorem of Ramanujan", Tamsui Oxford J. Math. Sci, 22(1), pp.9~15 (2006)
2. G.E. Andrews, "q-Identities of Auluck, Carlitz and Rogers", Duke Math. J, 33, pp.575~582 (1966)
3. G.E. Andrews, "Ramanujan's "lost" notebook I: Partial µ-functions", Adv. in Math, 41, pp.137~172 (1981)
4. G.E. Andrews, "The Theory of Partitions, Encyclopedia of Mathematics and Its Applications" (1976), Addison-Wesley
5. G.E. Andrews, "Special functions" (1999), Cambridge University Press
6. G.E. Andrews, "Ramanujan's Lost Notebook" (2005), Springer
7. B.C. Berndt, "A reciprocity theorem for certain q-series found in Ramanujan's lost notebook", Ramanujan J, 13, pp.29~40 (2007)
8. P. S. Guruprasad, "A simple proof of Ramanujan's reciprocity theorem", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 9(2), pp.121~124 (2006), 장전수학회(章田數學會)
9. T. Kim, "On a generalization of Jacobi's triple product identity and its applications", Adv. Stud. Contemp. Math, 9(2), pp.165~174 (2004)
10. S. Ramanujan, "Notebooks" (1957), Tata Institute
11. S. Ramanujan, "The lost notebook and other unpublished papers" (1988), Narosa
12. L.J. Rogers, "On two theorems of combinatory analysis and some allied identi- ties", Proc. London Math. Soc., pp.315~336 (1916)
13. D.B. Sears, "On the transformation theory of basic hypergeometric functions", Proc. London Math. Soc., pp.158~180 (1951)
14. D.D. Somashekara, "An interesting generalization of Jacobi's triple product identity", Far East J. Math. Sci, 9, pp.255~259 (2003)
15. Soon-Yi Kang, "Generalizations of Ramanujan's Reciprocity Theorem and their applications", J. London Math. Soc, 75(2), pp.18~34 (2007)

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